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152421696 = 2633712601
BaseRepresentation
bin10010001010111…
…00010101000000
3101121210211021000
421011130111000
5303004443241
623042532000
73530364060
oct1105342500
9347724230
10152421696
1179046749
1243067000
132576926b
14163593a0
15d5abeb6
hex915c540

152421696 has 112 divisors (see below), whose sum is σ = 512145280. Its totient is φ = 43545600.

The previous prime is 152421673. The next prime is 152421697. The reversal of 152421696 is 696124251.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 152421696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152421697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5796 + ... + 18396.

Almost surely, 2152421696 is an apocalyptic number.

152421696 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 152421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256072640).

152421696 is an abundant number, since it is smaller than the sum of its proper divisors (359723584).

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

152421696 is a wasteful number, since it uses less digits than its factorization.

152421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629 (or 12613 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 152421696 is about 12345.9181918560. The cubic root of 152421696 is about 534.1734066299.

It can be divided in two parts, 1524 and 21696, that added together give a triangular number (23220 = T215).

The spelling of 152421696 in words is "one hundred fifty-two million, four hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 12601 25202 37803 50404 75606 88207 100808 113409 151212 176414 201616 226818 264621 302424 340227 352828 403232 453636 529242 604848 680454 705656 793863 806464 907272 1058484 1209696 1360908 1411312 1587726 1814544 2116968 2381589 2419392 2721816 2822624 3175452 3629088 4233936 4763178 5443632 5645248 6350904 7258176 8467872 9526356 10887264 12701808 16935744 19052712 21774528 25403616 38105424 50807232 76210848 152421696