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150156954 = 232172916921
BaseRepresentation
bin10001111001100…
…11011010011010
3101110112202121200
420330303122122
5301420010304
622522215030
73502212243
oct1074633232
9343482550
10150156954
117783a162
1242354476
132515548c
1415d29cca
15d2b0e39
hex8f3369a

150156954 has 48 divisors (see below), whose sum is σ = 356377320. Its totient is φ = 45480960.

The previous prime is 150156953. The next prime is 150156997. The reversal of 150156954 is 459651051.

It can be written as a sum of positive squares in 4 ways, for example, as 147987225 + 2169729 = 12165^2 + 1473^2 .

It is a super-2 number, since 2×1501569542 = 45094221669116232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150156953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414 + ... + 17334.

Almost surely, 2150156954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150156954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178188660).

150156954 is an abundant number, since it is smaller than the sum of its proper divisors (206220366).

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

150156954 is a wasteful number, since it uses less digits than its factorization.

150156954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16975 (or 16972 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 150156954 is about 12253.8546588410. The cubic root of 150156954 is about 531.5145405616.

The spelling of 150156954 in words is "one hundred fifty million, one hundred fifty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 8874 16921 33842 50763 101526 152289 287657 304578 490709 575314 862971 981418 1472127 1725942 2588913 2944254 4416381 5177826 8342053 8832762 16684106 25026159 50052318 75078477 150156954