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157623060 = 22357537397
BaseRepresentation
bin10010110010100…
…10001100010100
3101222121002012010
421121102030110
5310322414220
623350224220
73622526310
oct1131221424
9358532163
10157623060
1180a795a1
1244955070
132686a8aa
1416d10b40
15dc881e0
hex9652314

157623060 has 192 divisors, whose sum is σ = 526321152. Its totient is φ = 34504704.

The previous prime is 157623029. The next prime is 157623083. The reversal of 157623060 is 60326751.

157623060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1624932 + ... + 1625028.

It is an arithmetic number, because the mean of its divisors is an integer number (2741256).

Almost surely, 2157623060 is an apocalyptic number.

157623060 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 157623060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263160576).

157623060 is an abundant number, since it is smaller than the sum of its proper divisors (368698092).

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

157623060 is a wasteful number, since it uses less digits than its factorization.

157623060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 157623060 is about 12554.8022684549. The cubic root of 157623060 is about 540.1817632289.

The spelling of 157623060 in words is "one hundred fifty-seven million, six hundred twenty-three thousand, sixty".