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157213980 = 2233571119199
BaseRepresentation
bin10010101111011…
…10010100011100
3101221211022001000
421113232110130
5310221321410
623333350300
73616203540
oct1127562434
9357738030
10157213980
118081a210
1244798390
1326756631
1416c45a20
15dc06dc0
hex95ee51c

157213980 has 384 divisors, whose sum is σ = 645120000. Its totient is φ = 30792960.

The previous prime is 157213963. The next prime is 157213981. The reversal of 157213980 is 89312751.

157213980 is a `hidden beast` number, since 1 + 572 + 1 + 3 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157213981) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 789921 + ... + 790119.

It is an arithmetic number, because the mean of its divisors is an integer number (1680000).

Almost surely, 2157213980 is an apocalyptic number.

157213980 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 157213980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560000).

157213980 is an abundant number, since it is smaller than the sum of its proper divisors (487906020).

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

157213980 is a wasteful number, since it uses less digits than its factorization.

157213980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 157213980 is about 12538.4999102763. The cubic root of 157213980 is about 539.7140461324.

It can be divided in two parts, 15721 and 3980, that added together give a triangular number (19701 = T198).

The spelling of 157213980 in words is "one hundred fifty-seven million, two hundred thirteen thousand, nine hundred eighty".