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1136972340 = 2232572339233
BaseRepresentation
bin100001111000100…
…1101001000110100
32221020102011211200
41003301031020310
54312031103330
6304453132500
740114051110
oct10361151064
92836364750
101136972340
11533878169
1227892a130
131517273ca
14ab004740
1569c3aa60
hex43c4d234

1136972340 has 144 divisors (see below), whose sum is σ = 4112978688. Its totient is φ = 248573952.

The previous prime is 1136972339. The next prime is 1136972341. The reversal of 1136972340 is 432796311.

It is an interprime number because it is at equal distance from previous prime (1136972339) and next prime (1136972341).

It is a super-2 number, since 2×11369723402 = 2585412203850151200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1136972295 and 1136972304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136972341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9364 + ... + 48596.

It is an arithmetic number, because the mean of its divisors is an integer number (28562352).

Almost surely, 21136972340 is an apocalyptic number.

1136972340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136972340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056489344).

1136972340 is an abundant number, since it is smaller than the sum of its proper divisors (2976006348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1136972340 is a wasteful number, since it uses less digits than its factorization.

1136972340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39278 (or 39273 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1136972340 is about 33719.0204484057. The cubic root of 1136972340 is about 1043.7183037932.

The spelling of 1136972340 in words is "one billion, one hundred thirty-six million, nine hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 39233 78466 117699 156932 196165 235398 274631 353097 392330 470796 549262 588495 706194 784660 823893 902359 1098524 1176990 1373155 1412388 1647786 1765485 1804718 2353980 2471679 2707077 2746310 3295572 3530970 3609436 4119465 4511795 4943358 5414154 5492620 6316513 7061940 8121231 8238930 9023590 9886716 10828308 12358395 12633026 13535385 16242462 16477860 18047180 18949539 24716790 25266052 27070770 31582565 32484924 37899078 40606155 49433580 54141540 56848617 63165130 75798156 81212310 94747695 113697234 126330260 162424620 189495390 227394468 284243085 378990780 568486170 1136972340