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1132041420 = 223452632657
BaseRepresentation
bin100001101111001…
…1001010011001100
32220220010122220000
41003132121103030
54304300311140
6304155324300
740024123206
oct10336312314
92826118800
101132041420
1153100a524
12277150690
131506bbbc3
14aa4bd776
15695b4a30
hex437994cc

1132041420 has 120 divisors (see below), whose sum is σ = 3566100384. Its totient is φ = 300616704.

The previous prime is 1132041371. The next prime is 1132041457. The reversal of 1132041420 is 241402311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1132041393 and 1132041402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424732 + ... + 427388.

Almost surely, 21132041420 is an apocalyptic number.

1132041420 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 1132041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783050192).

1132041420 is an abundant number, since it is smaller than the sum of its proper divisors (2434058964).

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

1132041420 is a wasteful number, since it uses less digits than its factorization.

1132041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132041420 is about 33645.8232177487. The cubic root of 1132041420 is about 1042.2072880393.

Adding to 1132041420 its reverse (241402311), we get a palindrome (1373443731).

The spelling of 1132041420 in words is "one billion, one hundred thirty-two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 263 270 324 405 526 540 789 810 1052 1315 1578 1620 2367 2630 2657 3156 3945 4734 5260 5314 7101 7890 7971 9468 10628 11835 13285 14202 15780 15942 21303 23670 23913 26570 28404 31884 35505 39855 42606 47340 47826 53140 71010 71739 79710 85212 95652 106515 119565 142020 143478 159420 213030 215217 239130 286956 358695 426060 430434 478260 698791 717390 860868 1076085 1397582 1434780 2096373 2152170 2795164 3493955 4192746 4304340 6289119 6987910 8385492 10481865 12578238 13975820 18867357 20963730 25156476 31445595 37734714 41927460 56602071 62891190 75469428 94336785 113204142 125782380 188673570 226408284 283010355 377347140 566020710 1132041420