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150990912 = 2633591481
BaseRepresentation
bin10001111111111…
…11000001000000
3101112010010121000
420333333001000
5302123202122
622552132000
73512254512
oct1077770100
9345103530
10150990912
1178259786
1242697000
1325387c47
14160a5bb2
15d3c80ac
hex8fff040

150990912 has 112 divisors (see below), whose sum is σ = 451713600. Its totient is φ = 49443840.

The previous prime is 150990881. The next prime is 150990949. The reversal of 150990912 is 219099051.

150990912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101212 + ... + 102692.

Almost surely, 2150990912 is an apocalyptic number.

150990912 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 150990912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225856800).

150990912 is an abundant number, since it is smaller than the sum of its proper divisors (300722688).

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

150990912 is a wasteful number, since it uses less digits than its factorization.

150990912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 150990912 is about 12287.8359364048. The cubic root of 150990912 is about 532.4967188848.

The spelling of 150990912 in words is "one hundred fifty million, nine hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 144 177 192 216 236 288 354 432 472 531 576 708 864 944 1062 1416 1481 1593 1728 1888 2124 2832 2962 3186 3776 4248 4443 5664 5924 6372 8496 8886 11328 11848 12744 13329 16992 17772 23696 25488 26658 33984 35544 39987 47392 50976 53316 71088 79974 87379 94784 101952 106632 142176 159948 174758 213264 262137 284352 319896 349516 426528 524274 639792 699032 786411 853056 1048548 1279584 1398064 1572822 2097096 2359233 2559168 2796128 3145644 4194192 4718466 5592256 6291288 8388384 9436932 12582576 16776768 18873864 25165152 37747728 50330304 75495456 150990912