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151461636 = 223174715797
BaseRepresentation
bin10010000011100…
…01111100000100
3101120000001022020
421001301330010
5302233233021
623010203140
73516255054
oct1101617404
9346001266
10151461636
1178550407
12428834b0
13254c1291
1416189564
15d46c7c6
hex9071f04

151461636 has 48 divisors (see below), whose sum is σ = 382185216. Its totient is φ = 46503424.

The previous prime is 151461631. The next prime is 151461659. The reversal of 151461636 is 636164151.

151461636 = T375 + T376 + ... + T986.

It is a junction number, because it is equal to n+sod(n) for n = 151461597 and 151461606.

It is not an unprimeable number, because it can be changed into a prime (151461631) 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, 1690 + ... + 17486.

It is an arithmetic number, because the mean of its divisors is an integer number (7962192).

Almost surely, 2151461636 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 151461636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191092608).

151461636 is an abundant number, since it is smaller than the sum of its proper divisors (230723580).

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

151461636 is a wasteful number, since it uses less digits than its factorization.

151461636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 15866 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 151461636 is about 12306.9750954489. The cubic root of 151461636 is about 533.0495092271.

The spelling of 151461636 in words is "one hundred fifty-one million, four hundred sixty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 564 799 1598 2397 3196 4794 9588 15797 31594 47391 63188 94782 189564 268549 537098 742459 805647 1074196 1484918 1611294 2227377 2969836 3222588 4454754 8909508 12621803 25243606 37865409 50487212 75730818 151461636