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150907968 = 2633233797
BaseRepresentation
bin10001111111010…
…10110001000000
3101111221220211000
420333222301000
5302113023333
622550252000
73511460631
oct1077526100
9344856730
10150907968
1178202432
1242657000
1325359273
1416083888
15d3ad713
hex8feac40

150907968 has 112 divisors (see below), whose sum is σ = 463052160. Its totient is φ = 48102912.

The previous prime is 150907957. The next prime is 150907973. The reversal of 150907968 is 869709051.

It is a congruent number.

It is an unprimeable number.

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, 37846 + ... + 41642.

Almost surely, 2150907968 is an apocalyptic number.

150907968 is a gapful number since it is divisible by the number (18) 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 150907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231526080).

150907968 is an abundant number, since it is smaller than the sum of its proper divisors (312144192).

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

150907968 is a wasteful number, since it uses less digits than its factorization.

150907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 150907968 is about 12284.4604277111. The cubic root of 150907968 is about 532.3991953600.

The spelling of 150907968 in words is "one hundred fifty million, nine hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 3312 3797 4416 4968 6624 7594 9936 11391 13248 15188 19872 22782 30376 34173 39744 45564 60752 68346 87331 91128 102519 121504 136692 174662 182256 205038 243008 261993 273384 349324 364512 410076 523986 546768 698648 729024 785979 820152 1047972 1093536 1397296 1571958 1640304 2095944 2187072 2357937 2794592 3143916 3280608 4191888 4715874 5589184 6287832 6561216 8383776 9431748 12575664 16767552 18863496 25151328 37726992 50302656 75453984 150907968