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151086252 = 223195312503
BaseRepresentation
bin10010000000101…
…10010010101100
3101112021222101010
421000112102230
5302134230002
622554145220
73513132462
oct1100262254
9345258333
10151086252
1178314379
1242722210
13253bc465
14160cc832
15d3e646c
hex90164ac

151086252 has 48 divisors (see below), whose sum is σ = 378120960. Its totient is φ = 46807488.

The previous prime is 151086251. The next prime is 151086253. The reversal of 151086252 is 252680151.

It is an interprime number because it is at equal distance from previous prime (151086251) and next prime (151086253).

It is not an unprimeable number, because it can be changed into a prime (151086251) 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, 5833 + ... + 18335.

It is an arithmetic number, because the mean of its divisors is an integer number (7877520).

Almost surely, 2151086252 is an apocalyptic number.

151086252 is a gapful number since it is divisible by the number (12) 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 151086252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189060480).

151086252 is an abundant number, since it is smaller than the sum of its proper divisors (227034708).

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

151086252 is a wasteful number, since it uses less digits than its factorization.

151086252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12580 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 151086252 is about 12291.7147705273. The cubic root of 151086252 is about 532.6087732125.

The spelling of 151086252 in words is "one hundred fifty-one million, eighty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 12503 25006 37509 50012 75018 150036 237557 475114 662659 712671 950228 1325318 1425342 1987977 2650636 2850684 3975954 7951908 12590521 25181042 37771563 50362084 75543126 151086252