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158949120 = 2835115371
BaseRepresentation
bin10010111100101…
…01111100000000
3102002002110012110
421132111330000
5311142332440
623434455320
73640021341
oct1136257400
9362073173
10158949120
11817a4910
1245294540
1326c13345
14171780c8
15de4b080
hex9795f00

158949120 has 288 divisors, whose sum is σ = 572189184. Its totient is φ = 37273600.

The previous prime is 158949071. The next prime is 158949157. The reversal of 158949120 is 21949851.

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 31 ways as a sum of consecutive naturals, for example, 2238685 + ... + 2238755.

It is an arithmetic number, because the mean of its divisors is an integer number (1986768).

Almost surely, 2158949120 is an apocalyptic number.

158949120 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 158949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286094592).

158949120 is an abundant number, since it is smaller than the sum of its proper divisors (413240064).

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

158949120 is a wasteful number, since it uses less digits than its factorization.

158949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 158949120 is about 12607.5025282567. The cubic root of 158949120 is about 541.6923586499.

The spelling of 158949120 in words is "one hundred fifty-eight million, nine hundred forty-nine thousand, one hundred twenty".