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157664260 = 22513619941
BaseRepresentation
bin10010110010111…
…00010000000100
3101222200011201001
421121130100010
5310330224020
623351143044
73623060365
oct1131342004
9358604631
10157664260
1180aa7546
1244974a84
1326883580
1416d21b6c
15dc9550a
hex965c404

157664260 has 48 divisors (see below), whose sum is σ = 362445552. Its totient is φ = 57254400.

The previous prime is 157664231. The next prime is 157664279. The reversal of 157664260 is 62466751.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 104898564 + 52765696 = 10242^2 + 7264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10890 + ... + 20830.

It is an arithmetic number, because the mean of its divisors is an integer number (7550949).

Almost surely, 2157664260 is an apocalyptic number.

157664260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157664260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181222776).

157664260 is an abundant number, since it is smaller than the sum of its proper divisors (204781292).

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

157664260 is a wasteful number, since it uses less digits than its factorization.

157664260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10024 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 157664260 is about 12556.4429676561. The cubic root of 157664260 is about 540.2288239188.

The spelling of 157664260 in words is "one hundred fifty-seven million, six hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 3172 3965 7930 9941 15860 19882 39764 49705 99410 129233 198820 258466 516932 606401 646165 1212802 1292330 2425604 2584660 3032005 6064010 7883213 12128020 15766426 31532852 39416065 78832130 157664260