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151013368 = 231119181499
BaseRepresentation
bin10010000000001…
…00011111111000
3101112011021101201
421000010133320
5302124411433
622552423544
73512410132
oct1100043770
9345137351
10151013368
1178274640
12426a7bb4
132539522c
14160b0052
15d3cea7d
hex90047f8

151013368 has 64 divisors (see below), whose sum is σ = 327600000. Its totient is φ = 64540800.

The previous prime is 151013299. The next prime is 151013389. The reversal of 151013368 is 863310151.

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 15 ways as a sum of consecutive naturals, for example, 302383 + ... + 302881.

It is an arithmetic number, because the mean of its divisors is an integer number (5118750).

Almost surely, 2151013368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151013368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163800000).

151013368 is an abundant number, since it is smaller than the sum of its proper divisors (176586632).

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

151013368 is a wasteful number, since it uses less digits than its factorization.

151013368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 151013368 is about 12288.7496516122. The cubic root of 151013368 is about 532.5231159560.

It can be divided in two parts, 1510 and 13368, that added together give a triangular number (14878 = T172).

The spelling of 151013368 in words is "one hundred fifty-one million, thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 181 209 362 418 499 724 836 998 1448 1672 1991 1996 3439 3982 3992 5489 6878 7964 9481 10978 13756 15928 18962 21956 27512 37829 37924 43912 75658 75848 90319 104291 151316 180638 208582 302632 361276 417164 722552 834328 993509 1716061 1987018 3432122 3974036 6864244 7948072 13728488 18876671 37753342 75506684 151013368