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1057151660 = 225711315683
BaseRepresentation
bin111111000000101…
…101101010101100
32201200012212110012
4333000231222230
54131112323120
6252522232352
735124432545
oct7700555254
92650185405
101057151660
114a2809764
122560556b8
1313b02a836
14a05874cc
1562c201c5
hex3f02daac

1057151660 has 48 divisors (see below), whose sum is σ = 2268870912. Its totient is φ = 413649600.

The previous prime is 1057151657. The next prime is 1057151663. The reversal of 1057151660 is 661517501.

It is an interprime number because it is at equal distance from previous prime (1057151657) and next prime (1057151663).

It is a super-2 number, since 2×10571516602 = 2235139264481511200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057151663) 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, 183179 + ... + 188861.

It is an arithmetic number, because the mean of its divisors is an integer number (47268144).

Almost surely, 21057151660 is an apocalyptic number.

1057151660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057151660 is an abundant number, since it is smaller than the sum of its proper divisors (1211719252).

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

1057151660 is a wasteful number, since it uses less digits than its factorization.

1057151660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 1057151660 is about 32513.8687332037. The cubic root of 1057151660 is about 1018.6987314835.

The spelling of 1057151660 in words is "one billion, fifty-seven million, one hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 71 131 142 262 284 355 524 655 710 1310 1420 2620 5683 9301 11366 18602 22732 28415 37204 46505 56830 93010 113660 186020 403493 744473 806986 1488946 1613972 2017465 2977892 3722365 4034930 7444730 8069860 14889460 52857583 105715166 211430332 264287915 528575830 1057151660