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150513564 = 22323619881
BaseRepresentation
bin10001111100010…
…10011110011100
3101111012212210110
420332022132130
5302012413224
622534010020
73505226025
oct1076123634
9344185713
10150513564
1177a63083
12424a6910
132524b8a6
1415dbdc4c
15d331929
hex8f8a79c

150513564 has 48 divisors (see below), whose sum is σ = 367476480. Its totient is φ = 47857920.

The previous prime is 150513527. The next prime is 150513569. The reversal of 150513564 is 465315051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150513569) 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, 170404 + ... + 171284.

It is an arithmetic number, because the mean of its divisors is an integer number (7655760).

Almost surely, 2150513564 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 150513564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183738240).

150513564 is an abundant number, since it is smaller than the sum of its proper divisors (216962916).

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

150513564 is a wasteful number, since it uses less digits than its factorization.

150513564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 150513564 is about 12268.3969612986. The cubic root of 150513564 is about 531.9349751871.

The spelling of 150513564 in words is "one hundred fifty million, five hundred thirteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 619 881 1238 1762 1857 2476 2643 3524 3714 5286 7428 10572 14237 20263 28474 40526 42711 56948 60789 81052 85422 121578 170844 243156 545339 1090678 1636017 2181356 3272034 6544068 12542797 25085594 37628391 50171188 75256782 150513564