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150065604 = 2232132911057
BaseRepresentation
bin10001111000111…
…01000111000100
3101110101010022100
420330131013010
5301404044404
622520232100
73501352023
oct1074350704
9343333270
10150065604
1177787567
124230b630
1325122a20
1415d048ba
15d293d39
hex8f1d1c4

150065604 has 72 divisors (see below), whose sum is σ = 422636760. Its totient is φ = 44577792.

The previous prime is 150065557. The next prime is 150065623. The reversal of 150065604 is 406560051.

It is a happy number.

150065604 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 656 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 248004 + 149817600 = 498^2 + 12240^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8044 + ... + 19100.

It is an arithmetic number, because the mean of its divisors is an integer number (5869955).

Almost surely, 2150065604 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 150065604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211318380).

150065604 is an abundant number, since it is smaller than the sum of its proper divisors (272571156).

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

150065604 is a wasteful number, since it uses less digits than its factorization.

150065604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11109 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150065604 is about 12250.1266932224. The cubic root of 150065604 is about 531.4067340266.

The spelling of 150065604 in words is "one hundred fifty million, sixty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 11057 13572 22114 33171 44228 66342 99513 132684 143741 199026 287482 320653 398052 431223 574964 641306 862446 961959 1282612 1293669 1724892 1923918 2587338 2885877 3847836 4168489 5174676 5771754 8336978 11543508 12505467 16673956 25010934 37516401 50021868 75032802 150065604