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157817680 = 2451972721
BaseRepresentation
bin10010110100000…
…01101101010000
3101222221222011021
421122001231100
5310400131210
623354325224
73624266566
oct1132015520
9358858137
10157817680
11810a1839
1244a29814
1326908357
1416d61a36
15dcc5bda
hex9681b50

157817680 has 20 divisors (see below), whose sum is σ = 366926292. Its totient is φ = 63127040.

The previous prime is 157817669. The next prime is 157817687. The reversal of 157817680 is 86718751.

It can be written as a sum of positive squares in 2 ways, for example, as 91623184 + 66194496 = 9572^2 + 8136^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157817687) 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 3 ways as a sum of consecutive naturals, for example, 986281 + ... + 986440.

Almost surely, 2157817680 is an apocalyptic number.

157817680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157817680 is an abundant number, since it is smaller than the sum of its proper divisors (209108612).

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

157817680 is a wasteful number, since it uses less digits than its factorization.

157817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972734 (or 1972728 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 43.

The square root of 157817680 is about 12562.5506964151. The cubic root of 157817680 is about 540.4039958043.

The spelling of 157817680 in words is "one hundred fifty-seven million, eight hundred seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1972721 3945442 7890884 9863605 15781768 19727210 31563536 39454420 78908840 157817680