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157707680 = 2551375821
BaseRepresentation
bin10010110011001…
…10110110100000
3101222202101021012
421121212312200
5310333121210
623352120052
73623331104
oct1131466640
9358671235
10157707680
1181027129
1244996028
132689a270
1416d33904
15dca3305
hex9666da0

157707680 has 48 divisors (see below), whose sum is σ = 401250024. Its totient is φ = 58229760.

The previous prime is 157707679. The next prime is 157707707. The reversal of 157707680 is 86707751.

It can be written as a sum of positive squares in 4 ways, for example, as 142372624 + 15335056 = 11932^2 + 3916^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35831 + ... + 39990.

Almost surely, 2157707680 is an apocalyptic number.

157707680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157707680 is an abundant number, since it is smaller than the sum of its proper divisors (243542344).

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

157707680 is a wasteful number, since it uses less digits than its factorization.

157707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75849 (or 75841 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 41.

The square root of 157707680 is about 12558.1718414744. The cubic root of 157707680 is about 540.2784115311.

The spelling of 157707680 in words is "one hundred fifty-seven million, seven hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 75821 151642 303284 379105 606568 758210 985673 1213136 1516420 1971346 2426272 3032840 3942692 4928365 6065680 7885384 9856730 12131360 15770768 19713460 31541536 39426920 78853840 157707680