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1162957056 = 2836797233
BaseRepresentation
bin100010101010001…
…0101000100000000
310000001022100011120
41011110111010000
54340204111211
6311222112240
740550654232
oct10524250400
93001270146
101162957056
11547505938
1228557b680
13156c24891
14b064a252
156c16ed06
hex45515100

1162957056 has 144 divisors (see below), whose sum is σ = 3187364544. Its totient is φ = 376307712.

The previous prime is 1162957039. The next prime is 1162957139. The reversal of 1162957056 is 6507592611.

It is a super-2 number, since 2×11629570562 = 2704938228200374272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1162956999 and 1162957017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4991116 + ... + 4991348.

It is an arithmetic number, because the mean of its divisors is an integer number (22134476).

Almost surely, 21162957056 is an apocalyptic number.

1162957056 is a gapful number since it is divisible by the number (16) 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 1162957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593682272).

1162957056 is an abundant number, since it is smaller than the sum of its proper divisors (2024407488).

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

1162957056 is an equidigital number, since it uses as much as digits as its factorization.

1162957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 1162957056 is about 34102.1561781656. The cubic root of 1162957056 is about 1051.6096418283.

The spelling of 1162957056 in words is "one billion, one hundred sixty-two million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 97 128 134 192 194 201 233 256 268 291 384 388 402 466 536 582 699 768 776 804 932 1072 1164 1398 1552 1608 1864 2144 2328 2796 3104 3216 3728 4288 4656 5592 6208 6432 6499 7456 8576 9312 11184 12416 12864 12998 14912 15611 17152 18624 19497 22368 22601 24832 25728 25996 29824 31222 37248 38994 44736 45202 46833 51456 51992 59648 62444 67803 74496 77988 89472 90404 93666 103984 124888 135606 155976 178944 180808 187332 207968 249776 271212 311952 361616 374664 415936 499552 542424 623904 723232 749328 831872 999104 1084848 1247808 1446464 1498656 1514267 1663744 1998208 2169696 2495616 2892928 2997312 3028534 3996416 4339392 4542801 4991232 5785856 5994624 6057068 8678784 9085602 11989248 12114136 17357568 18171204 24228272 36342408 48456544 72684816 96913088 145369632 193826176 290739264 387652352 581478528 1162957056