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157090692 = 223111190081
BaseRepresentation
bin10010101110100…
…00001110000100
3101221121000220210
421113100032010
5310203400232
623330555420
73615151233
oct1127201604
9357530823
10157090692
1180745620
1244738b70
1326712495
1416c12b1a
15dbd05cc
hex95d0384

157090692 has 24 divisors (see below), whose sum is σ = 399867552. Its totient is φ = 47603200.

The previous prime is 157090669. The next prime is 157090699. The reversal of 157090692 is 296090751.

157090692 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 157090692.

It is not an unprimeable number, because it can be changed into a prime (157090699) 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 7 ways as a sum of consecutive naturals, for example, 594909 + ... + 595172.

It is an arithmetic number, because the mean of its divisors is an integer number (16661148).

Almost surely, 2157090692 is an apocalyptic number.

157090692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157090692 is an abundant number, since it is smaller than the sum of its proper divisors (242776860).

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

157090692 is a wasteful number, since it uses less digits than its factorization.

157090692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190099 (or 1190097 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 157090692 is about 12533.5825684439. The cubic root of 157090692 is about 539.5729270736.

The spelling of 157090692 in words is "one hundred fifty-seven million, ninety thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1190081 2380162 3570243 4760324 7140486 13090891 14280972 26181782 39272673 52363564 78545346 157090692