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150786896 = 24132343733
BaseRepresentation
bin10001111110011…
…01001101010000
3101111201202201212
420333031031100
5302100140041
622543515252
73510444641
oct1077151520
9344652655
10150786896
117812a477
12425b8b28
1325316120
14160516c8
15d3878eb
hex8fcd350

150786896 has 80 divisors (see below), whose sum is σ = 336395136. Its totient is φ = 64931328.

The previous prime is 150786893. The next prime is 150786901. The reversal of 150786896 is 698687051.

It is a happy number.

150786896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150786893) 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, 205346 + ... + 206078.

Almost surely, 2150786896 is an apocalyptic number.

150786896 is a gapful number since it is divisible by the number (16) 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 150786896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168197568).

150786896 is an abundant number, since it is smaller than the sum of its proper divisors (185608240).

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

150786896 is a wasteful number, since it uses less digits than its factorization.

150786896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The square root of 150786896 is about 12279.5315871575. The cubic root of 150786896 is about 532.2567776951.

The spelling of 150786896 in words is "one hundred fifty million, seven hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 43 46 52 86 92 104 172 184 208 299 344 368 559 598 688 733 989 1118 1196 1466 1978 2236 2392 2932 3956 4472 4784 5864 7912 8944 9529 11728 12857 15824 16859 19058 25714 31519 33718 38116 51428 63038 67436 76232 102856 126076 134872 152464 205712 219167 252152 269744 409747 438334 504304 724937 819494 876668 1449874 1638988 1753336 2899748 3277976 3506672 5799496 6555952 9424181 11598992 18848362 37696724 75393448 150786896