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157516020 = 22325875089
BaseRepresentation
bin10010110001110…
…00000011110100
3101222101122100200
421120320003310
5310311003040
623344040500
73621602244
oct1130700364
9358348320
10157516020
1180a06132
1244903130
1326830c5c
1416cc3b24
15dc66630
hex96380f4

157516020 has 36 divisors (see below), whose sum is σ = 477799140. Its totient is φ = 42004224.

The previous prime is 157516019. The next prime is 157516031. The reversal of 157516020 is 20615751.

157516020 is a `hidden beast` number, since 1 + 5 + 7 + 51 + 602 + 0 = 666.

157516020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91126116 + 66389904 = 9546^2 + 8148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1575160202 = 49622593113280800, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437365 + ... + 437724.

Almost surely, 2157516020 is an apocalyptic number.

157516020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157516020 is an abundant number, since it is smaller than the sum of its proper divisors (320283120).

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

157516020 is a wasteful number, since it uses less digits than its factorization.

157516020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875104 (or 875099 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157516020 is about 12550.5386338595. The cubic root of 157516020 is about 540.0594584735.

The spelling of 157516020 in words is "one hundred fifty-seven million, five hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 875089 1750178 2625267 3500356 4375445 5250534 7875801 8750890 10501068 13126335 15751602 17501780 26252670 31503204 39379005 52505340 78758010 157516020