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150691232 = 2537137929
BaseRepresentation
bin10001111101101…
…01110110100000
3101111112220111202
420332311312200
5302034104412
622541500332
73506566016
oct1076656640
9344486452
10150691232
117807460a
12425716a8
13252b1713
14160288b6
15d3693c2
hex8fb5da0

150691232 has 48 divisors (see below), whose sum is σ = 307245960. Its totient is φ = 72695808.

The previous prime is 150691201. The next prime is 150691237. The reversal of 150691232 is 232196051.

It can be written as a sum of positive squares in 4 ways, for example, as 122855056 + 27836176 = 11084^2 + 5276^2 .

It is a junction number, because it is equal to n+sod(n) for n = 150691195 and 150691204.

It is not an unprimeable number, because it can be changed into a prime (150691237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161744 + ... + 162672.

Almost surely, 2150691232 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 150691232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153622980).

150691232 is an abundant number, since it is smaller than the sum of its proper divisors (156554728).

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

150691232 is a wasteful number, since it uses less digits than its factorization.

150691232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 150691232 is about 12275.6357065530. The cubic root of 150691232 is about 532.1441936765.

The spelling of 150691232 in words is "one hundred fifty million, six hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 137 148 274 296 548 592 929 1096 1184 1858 2192 3716 4384 5069 7432 10138 14864 20276 29728 34373 40552 68746 81104 127273 137492 162208 254546 274984 509092 549968 1018184 1099936 2036368 4072736 4709101 9418202 18836404 37672808 75345616 150691232