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151061904 = 24327279271
BaseRepresentation
bin10010000000100…
…00010110010000
3101112020201222100
421000100112100
5302132440104
622553440400
73513001500
oct1100202620
9345221870
10151061904
11782a8054
1242710100
13253b1356
14160c3a00
15d3de139
hex9010590

151061904 has 180 divisors, whose sum is σ = 499848960. Its totient is φ = 42456960.

The previous prime is 151061887. The next prime is 151061921. The reversal of 151061904 is 409160151.

151061904 is a `hidden beast` number, since 1 + 510 + 61 + 90 + 4 = 666.

151061904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151061887) and next prime (151061921).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 557289 + ... + 557559.

Almost surely, 2151061904 is an apocalyptic number.

151061904 is a gapful number since it is divisible by the number (14) 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 151061904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249924480).

151061904 is an abundant number, since it is smaller than the sum of its proper divisors (348787056).

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

151061904 is a wasteful number, since it uses less digits than its factorization.

151061904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 151061904 is about 12290.7243073791. The cubic root of 151061904 is about 532.5801611782.

The spelling of 151061904 in words is "one hundred fifty-one million, sixty-one thousand, nine hundred four".