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159442920 = 2332571331157
BaseRepresentation
bin10011000000011…
…10011111101000
3102010000112120100
421200032133220
5311304133140
623453225400
73644146110
oct1140163750
9363015510
10159442920
118200190a
1245492260
1327057030
1417266040
15dee7530
hex980e7e8

159442920 has 384 divisors, whose sum is σ = 662538240. Its totient is φ = 32348160.

The previous prime is 159442919. The next prime is 159442937. The reversal of 159442920 is 29244951.

159442920 is a `hidden beast` number, since 1 + 594 + 42 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015482 + ... + 1015638.

It is an arithmetic number, because the mean of its divisors is an integer number (1725360).

Almost surely, 2159442920 is an apocalyptic number.

159442920 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 159442920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331269120).

159442920 is an abundant number, since it is smaller than the sum of its proper divisors (503095320).

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

159442920 is a wasteful number, since it uses less digits than its factorization.

159442920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159442920 is about 12627.0709192591. The cubic root of 159442920 is about 542.2527290932.

The spelling of 159442920 in words is "one hundred fifty-nine million, four hundred forty-two thousand, nine hundred twenty".