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151085352 = 233111633511
BaseRepresentation
bin10010000000101…
…10000100101000
3101112021221010210
421000112010220
5302134212402
622554141120
73513130035
oct1100260450
9345257123
10151085352
1178313730
12427217a0
13253bbc22
14160cc38c
15d3e606c
hex9016128

151085352 has 64 divisors (see below), whose sum is σ = 414696960. Its totient is φ = 45489600.

The previous prime is 151085329. The next prime is 151085353. The reversal of 151085352 is 253580151.

It is not an unprimeable number, because it can be changed into a prime (151085353) 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, 41277 + ... + 44787.

It is an arithmetic number, because the mean of its divisors is an integer number (6479640).

Almost surely, 2151085352 is an apocalyptic number.

151085352 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 151085352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207348480).

151085352 is an abundant number, since it is smaller than the sum of its proper divisors (263611608).

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

151085352 is a wasteful number, since it uses less digits than its factorization.

151085352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 151085352 is about 12291.6781604466. The cubic root of 151085352 is about 532.6077156514.

The spelling of 151085352 in words is "one hundred fifty-one million, eighty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1956 3511 3586 3912 5379 7022 7172 10533 10758 14044 14344 21066 21516 28088 38621 42132 43032 77242 84264 115863 154484 231726 308968 463452 572293 926904 1144586 1716879 2289172 3433758 4578344 6295223 6867516 12590446 13735032 18885669 25180892 37771338 50361784 75542676 151085352