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1055129736 = 2331929731093
BaseRepresentation
bin111110111001000…
…000000010001000
32201112102010220010
4332321000002020
54130103122421
6252411031520
735101311663
oct7671000210
92645363803
101055129736
114a1658651
1225543b5a0
1313a7a042b
14a01bc6da
1562971076
hex3ee40088

1055129736 has 128 divisors (see below), whose sum is σ = 2914416000. Its totient is φ = 317011968.

The previous prime is 1055129731. The next prime is 1055129737. The reversal of 1055129736 is 6379215501.

It is a super-2 number, since 2×10551297362 = 2226597519582859392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055129694 and 1055129703.

It is not an unprimeable number, because it can be changed into a prime (1055129731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964806 + ... + 965898.

It is an arithmetic number, because the mean of its divisors is an integer number (22768875).

Almost surely, 21055129736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055129736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457208000).

1055129736 is an abundant number, since it is smaller than the sum of its proper divisors (1859286264).

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

1055129736 is a wasteful number, since it uses less digits than its factorization.

1055129736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 1055129736 is about 32482.7605969690. The cubic root of 1055129736 is about 1018.0488575355.

The spelling of 1055129736 in words is "one billion, fifty-five million, one hundred twenty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 73 76 87 114 116 146 152 174 219 228 232 292 348 438 456 551 584 696 876 1093 1102 1387 1653 1752 2117 2186 2204 2774 3279 3306 4161 4234 4372 4408 5548 6351 6558 6612 8322 8468 8744 11096 12702 13116 13224 16644 16936 20767 25404 26232 31697 33288 40223 41534 50808 62301 63394 79789 80446 83068 95091 120669 124602 126788 159578 160892 166136 190182 239367 241338 249204 253576 319156 321784 380364 478734 482676 498408 602243 638312 760728 957468 965352 1204486 1515991 1806729 1914936 2313881 2408972 3031982 3613458 4547973 4627762 4817944 6063964 6941643 7226916 9095946 9255524 12127928 13883286 14453832 18191892 18511048 27766572 36383784 43963739 55533144 87927478 131891217 175854956 263782434 351709912 527564868 1055129736