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150685056 = 273359739
BaseRepresentation
bin10001111101101…
…00010110000000
3101111112121001000
420332310112000
5302033410211
622541412000
73506542014
oct1076642600
9344477030
10150685056
117806aa05
124256a000
13252ab972
1416026544
15d367656
hex8fb4580

150685056 has 128 divisors (see below), whose sum is σ = 452880000. Its totient is φ = 49310208.

The previous prime is 150685049. The next prime is 150685081. The reversal of 150685056 is 650586051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1506850563 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 150685056.

It is a congruent number.

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, 203535 + ... + 204273.

It is an arithmetic number, because the mean of its divisors is an integer number (3538125).

Almost surely, 2150685056 is an apocalyptic number.

150685056 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 150685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226440000).

150685056 is an abundant number, since it is smaller than the sum of its proper divisors (302194944).

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

150685056 is an equidigital number, since it uses as much as digits as its factorization.

150685056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 150685056 is about 12275.3841487751. The cubic root of 150685056 is about 532.1369236949.

The spelling of 150685056 in words is "one hundred fifty million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 96 108 118 128 144 177 192 216 236 288 354 384 432 472 531 576 708 739 864 944 1062 1152 1416 1478 1593 1728 1888 2124 2217 2832 2956 3186 3456 3776 4248 4434 5664 5912 6372 6651 7552 8496 8868 11328 11824 12744 13302 16992 17736 19953 22656 23648 25488 26604 33984 35472 39906 43601 47296 50976 53208 67968 70944 79812 87202 94592 101952 106416 130803 141888 159624 174404 203904 212832 261606 283776 319248 348808 392409 425664 523212 638496 697616 784818 851328 1046424 1177227 1276992 1395232 1569636 2092848 2354454 2553984 2790464 3139272 4185696 4708908 5580928 6278544 8371392 9417816 12557088 16742784 18835632 25114176 37671264 50228352 75342528 150685056