Search a number
-
+
128057931 = 32312771657
BaseRepresentation
bin1111010001000…
…00001001001011
322220222000110100
413220200021023
5230240323211
620412420443
73113321511
oct750401113
9286860410
10128057931
1166315901
1236a77723
13206b8831
14130164b1
15b398156
hex7a2024b

128057931 has 24 divisors (see below), whose sum is σ = 191744384. Its totient is φ = 82270080.

The previous prime is 128057927. The next prime is 128057933. The reversal of 128057931 is 139750821.

128057931 is a `hidden beast` number, since 1 + 2 + 80 + 579 + 3 + 1 = 666.

It is not a de Polignac number, because 128057931 - 22 = 128057927 is a prime.

It is a super-2 number, since 2×1280579312 = 32797667384001522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128057933) 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 23 ways as a sum of consecutive naturals, for example, 76455 + ... + 78111.

Almost surely, 2128057931 is an apocalyptic number.

128057931 is a deficient number, since it is larger than the sum of its proper divisors (63686453).

128057931 is a wasteful number, since it uses less digits than its factorization.

128057931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 128057931 is about 11316.2684220550. The cubic root of 128057931 is about 504.0444381641.

It can be divided in two parts, 12805 and 7931, that added together give a 4-th power (20736 = 124).

The spelling of 128057931 in words is "one hundred twenty-eight million, fifty-seven thousand, nine hundred thirty-one".

Divisors: 1 3 9 31 93 277 279 831 1657 2493 4971 8587 14913 25761 51367 77283 154101 458989 462303 1376967 4130901 14228659 42685977 128057931