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151315696 = 24719211337
BaseRepresentation
bin10010000010011…
…10010011110000
3101112201122010001
421001032103300
5302214100241
623003115344
73515106430
oct1101162360
9345648101
10151315696
11784607a4
1242812b54
132546ca1c
141614c2c0
15d43e431
hex904e4f0

151315696 has 80 divisors (see below), whose sum is σ = 355413760. Its totient is φ = 60963840.

The previous prime is 151315679. The next prime is 151315699. The reversal of 151315696 is 696513151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151315699) by changing a digit.

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, 448840 + ... + 449176.

It is an arithmetic number, because the mean of its divisors is an integer number (4442672).

Almost surely, 2151315696 is an apocalyptic number.

151315696 is a gapful number since it is divisible by the number (16) 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 151315696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177706880).

151315696 is an abundant number, since it is smaller than the sum of its proper divisors (204098064).

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

151315696 is a wasteful number, since it uses less digits than its factorization.

151315696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 576 counting only the distinct ones).

The product of its digits is 24300, while the sum is 37.

The square root of 151315696 is about 12301.0445084960. The cubic root of 151315696 is about 532.8782485995.

The spelling of 151315696 in words is "one hundred fifty-one million, three hundred fifteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 211 266 304 337 422 532 674 844 1064 1348 1477 1688 2128 2359 2696 2954 3376 4009 4718 5392 5908 6403 8018 9436 11816 12806 16036 18872 23632 25612 28063 32072 37744 44821 51224 56126 64144 71107 89642 102448 112252 142214 179284 224504 284428 358568 449008 497749 568856 717136 995498 1137712 1351033 1990996 2702066 3981992 5404132 7963984 9457231 10808264 18914462 21616528 37828924 75657848 151315696