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150059712 = 26311227313
BaseRepresentation
bin10001111000110…
…11101011000000
3101110100211020010
420330123223000
5301403402322
622520144520
73501325605
oct1074335300
9343324203
10150059712
11777830a0
1242308140
132512013a
1415d026ac
15d29220c
hex8f1bac0

150059712 has 112 divisors (see below), whose sum is σ = 436424832. Its totient is φ = 45127680.

The previous prime is 150059711. The next prime is 150059719. The reversal of 150059712 is 217950051.

It is a self number, because there is not a number n which added to its sum of digits gives 150059712.

It is not an unprimeable number, because it can be changed into a prime (150059711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 479268 + ... + 479580.

Almost surely, 2150059712 is an apocalyptic number.

150059712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150059712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218212416).

150059712 is an abundant number, since it is smaller than the sum of its proper divisors (286365120).

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

150059712 is a wasteful number, since it uses less digits than its factorization.

150059712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 150059712 is about 12249.8862035531. The cubic root of 150059712 is about 531.3997790919.

The spelling of 150059712 in words is "one hundred fifty million, fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 227 264 313 352 454 528 626 681 704 908 939 1056 1252 1362 1816 1878 2112 2497 2504 2724 3443 3632 3756 4994 5008 5448 6886 7264 7491 7512 9988 10016 10329 10896 13772 14528 14982 15024 19976 20032 20658 21792 27544 29964 30048 39952 41316 43584 55088 59928 60096 71051 79904 82632 110176 119856 142102 159808 165264 213153 220352 239712 284204 330528 426306 479424 568408 661056 781561 852612 1136816 1563122 1705224 2273632 2344683 3126244 3410448 4547264 4689366 6252488 6820896 9378732 12504976 13641792 18757464 25009952 37514928 50019904 75029856 150059712