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1056178968 = 2331319917011
BaseRepresentation
bin111110111101000…
…000001100011000
32201121101110011120
4332331000030120
54130340211333
6252445325240
735113241655
oct7675001430
92647343146
101056178968
114a2204989
12255866820
1313aa79b90
14a03b2c2c
1562acbdb3
hex3ef40318

1056178968 has 64 divisors (see below), whose sum is σ = 2858016000. Its totient is φ = 323326080.

The previous prime is 1056178961. The next prime is 1056178979. The reversal of 1056178968 is 8698716501.

It is a super-2 number, since 2×10561789682 = 2231028024891090048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1056178968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056178961) 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, 53583 + ... + 70593.

It is an arithmetic number, because the mean of its divisors is an integer number (44656500).

Almost surely, 21056178968 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 1056178968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429008000).

1056178968 is an abundant number, since it is smaller than the sum of its proper divisors (1801837032).

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

1056178968 is a wasteful number, since it uses less digits than its factorization.

1056178968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 1056178968 is about 32498.9071816269. The cubic root of 1056178968 is about 1018.3861985378.

The spelling of 1056178968 in words is "one billion, fifty-six million, one hundred seventy-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 398 597 796 1194 1592 2388 2587 4776 5174 7761 10348 15522 17011 20696 31044 34022 51033 62088 68044 102066 136088 204132 221143 408264 442286 663429 884572 1326858 1769144 2653716 3385189 5307432 6770378 10155567 13540756 20311134 27081512 40622268 44007457 81244536 88014914 132022371 176029828 264044742 352059656 528089484 1056178968