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150697152 = 2633372357
BaseRepresentation
bin10001111101101…
…11010011000000
3101111120012122000
420332313103000
5302034302102
622541544000
73506622204
oct1076672300
9344505560
10150697152
1178079001
1242575000
13252b4318
141602ab04
15d36b01c
hex8fb74c0

150697152 has 112 divisors (see below), whose sum is σ = 455188320. Its totient is φ = 48854016.

The previous prime is 150697147. The next prime is 150697213. The reversal of 150697152 is 251796051.

150697152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1506971522 = 45419263241822208, which contains 22 as substring.

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, 62758 + ... + 65114.

Almost surely, 2150697152 is an apocalyptic number.

150697152 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 150697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227594160).

150697152 is an abundant number, since it is smaller than the sum of its proper divisors (304491168).

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

150697152 is a wasteful number, since it uses less digits than its factorization.

150697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 150697152 is about 12275.8768322267. The cubic root of 150697152 is about 532.1511621252.

The spelling of 150697152 in words is "one hundred fifty million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 144 148 192 216 222 288 296 333 432 444 576 592 666 864 888 999 1184 1332 1728 1776 1998 2357 2368 2664 3552 3996 4714 5328 7071 7104 7992 9428 10656 14142 15984 18856 21213 21312 28284 31968 37712 42426 56568 63639 63936 75424 84852 87209 113136 127278 150848 169704 174418 226272 254556 261627 339408 348836 452544 509112 523254 678816 697672 784881 1018224 1046508 1357632 1395344 1569762 2036448 2093016 2354643 2790688 3139524 4072896 4186032 4709286 5581376 6279048 8372064 9418572 12558096 16744128 18837144 25116192 37674288 50232384 75348576 150697152