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150081096 = 233114311319
BaseRepresentation
bin10001111001000…
…00111001001000
3101110101220120010
420330200321020
5301410043341
622520431520
73501445134
oct1074407110
9343356503
10150081096
1177798170
12423185a0
1325129aa9
1415d0a3c4
15d298716
hex8f20e48

150081096 has 64 divisors (see below), whose sum is σ = 410572800. Its totient is φ = 45339200.

The previous prime is 150081077. The next prime is 150081097. The reversal of 150081096 is 690180051.

It is a happy number.

It is a super-2 number, since 2×1500810962 = 45048670753122432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150081097) 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, 113125 + ... + 114443.

It is an arithmetic number, because the mean of its divisors is an integer number (6415200).

Almost surely, 2150081096 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 150081096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

150081096 is an abundant number, since it is smaller than the sum of its proper divisors (260491704).

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

150081096 is a wasteful number, since it uses less digits than its factorization.

150081096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 150081096 is about 12250.7589968948. The cubic root of 150081096 is about 531.4250199621.

The spelling of 150081096 in words is "one hundred fifty million, eighty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 431 862 1293 1319 1724 2586 2638 3448 3957 4741 5172 5276 7914 9482 10344 10552 14223 14509 15828 18964 28446 29018 31656 37928 43527 56892 58036 87054 113784 116072 174108 348216 568489 1136978 1705467 2273956 3410934 4547912 6253379 6821868 12506758 13643736 18760137 25013516 37520274 50027032 75040548 150081096