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1057800114 = 23372996497
BaseRepresentation
bin111111000011001…
…011111110110010
32201201102210222000
4333003023332302
54131244100424
6252544154430
735133103230
oct7703137662
92651383860
101057800114
114a3111978
12256308a16
1313b1c6a37
14a06b5950
1562cec3c9
hex3f0cbfb2

1057800114 has 64 divisors (see below), whose sum is σ = 2779142400. Its totient is φ = 291803904.

The previous prime is 1057800113. The next prime is 1057800127. The reversal of 1057800114 is 4110087501.

It is a super-2 number, since 2×10578001142 = 2237882162356825992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1057800113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37287 + ... + 59210.

It is an arithmetic number, because the mean of its divisors is an integer number (43424100).

Almost surely, 21057800114 is an apocalyptic number.

1057800114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1057800114 is an abundant number, since it is smaller than the sum of its proper divisors (1721342286).

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

1057800114 is a wasteful number, since it uses less digits than its factorization.

1057800114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96544 (or 96538 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1057800114 is about 32523.8391645267. The cubic root of 1057800114 is about 1018.9069779355.

Adding to 1057800114 its reverse (4110087501), we get a palindrome (5167887615).

The spelling of 1057800114 in words is "one billion, fifty-seven million, eight hundred thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 54 58 63 87 126 174 189 203 261 378 406 522 609 783 1218 1566 1827 3654 5481 10962 96497 192994 289491 578982 675479 868473 1350958 1736946 2026437 2605419 2798413 4052874 5210838 5596826 6079311 8395239 12158622 16790478 18237933 19588891 25185717 36475866 39177782 50371434 58766673 75557151 117533346 151114302 176300019 352600038 528900057 1057800114