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157617420 = 223510724551
BaseRepresentation
bin10010110010100…
…00110100001100
3101222120210110020
421121100310030
5310322224140
623350142140
73622504002
oct1131206414
9358523406
10157617420
1180a75334
1244951950
132686815c
1416d0ca72
15dc866d0
hex9650d0c

157617420 has 48 divisors (see below), whose sum is σ = 445471488. Its totient is φ = 41636800.

The previous prime is 157617391. The next prime is 157617431. The reversal of 157617420 is 24716751.

157617420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5856 + ... + 18695.

It is an arithmetic number, because the mean of its divisors is an integer number (9280656).

Almost surely, 2157617420 is an apocalyptic number.

157617420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157617420 is an abundant number, since it is smaller than the sum of its proper divisors (287854068).

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

157617420 is a wasteful number, since it uses less digits than its factorization.

157617420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24670 (or 24668 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 157617420 is about 12554.5776511996. The cubic root of 157617420 is about 540.1753203022.

The spelling of 157617420 in words is "one hundred fifty-seven million, six hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 24551 49102 73653 98204 122755 147306 245510 294612 368265 491020 736530 1473060 2626957 5253914 7880871 10507828 13134785 15761742 26269570 31523484 39404355 52539140 78808710 157617420