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1134162640 = 245134723203
BaseRepresentation
bin100001110011001…
…1111001011010000
32221001010102122201
41003212133023100
54310321201030
6304313012544
740051136422
oct10346371320
92831112581
101134162640
115322291a6
122779b4154
13150c82570
14aa8b2812
15698832ca
hex4399f2d0

1134162640 has 80 divisors (see below), whose sum is σ = 2900314368. Its totient is φ = 409840128.

The previous prime is 1134162607. The next prime is 1134162643. The reversal of 1134162640 is 462614311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1134162599 and 1134162608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134162643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37279 + ... + 60481.

Almost surely, 21134162640 is an apocalyptic number.

1134162640 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 1134162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450157184).

1134162640 is an abundant number, since it is smaller than the sum of its proper divisors (1766151728).

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

1134162640 is a wasteful number, since it uses less digits than its factorization.

1134162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23276 (or 23270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1134162640 is about 33677.3312481853. The cubic root of 1134162640 is about 1042.8578447841.

Adding to 1134162640 its reverse (462614311), we get a palindrome (1596776951).

The spelling of 1134162640 in words is "one billion, one hundred thirty-four million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 940 1040 1222 1880 2444 3055 3760 4888 6110 9776 12220 23203 24440 46406 48880 92812 116015 185624 232030 301639 371248 464060 603278 928120 1090541 1206556 1508195 1856240 2181082 2413112 3016390 4362164 4826224 5452705 6032780 8724328 10905410 12065560 14177033 17448656 21810820 24131120 28354066 43621640 56708132 70885165 87243280 113416264 141770330 226832528 283540660 567081320 1134162640