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151889920 = 2115713163
BaseRepresentation
bin10010000110110…
…10100000000000
3101120210210210121
421003122200000
5302340434140
623023310024
73523020520
oct1103324000
9346723717
10151889920
1178813166
1242a4b314
13256111c0
141625b680
15d50464a
hex90da800

151889920 has 192 divisors, whose sum is σ = 451301760. Its totient is φ = 47775744.

The previous prime is 151889911. The next prime is 151889957. The reversal of 151889920 is 29988151.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931759 + ... + 931921.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 2151889920 is an apocalyptic number.

151889920 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 151889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

151889920 is an abundant number, since it is smaller than the sum of its proper divisors (299411840).

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

151889920 is a wasteful number, since it uses less digits than its factorization.

151889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 43.

The square root of 151889920 is about 12324.3628638563. The cubic root of 151889920 is about 533.5514663271.

The spelling of 151889920 in words is "one hundred fifty-one million, eight hundred eighty-nine thousand, nine hundred twenty".