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150010880 = 210583353
BaseRepresentation
bin10001111000011…
…11110000000000
3101110021100020112
420330033300000
5301400322010
622515130452
73501033335
oct1074176000
9343240215
10150010880
117774a438
12422a3a28
1325103b46
1415ccc98c
15d282a05
hex8f0fc00

150010880 has 88 divisors (see below), whose sum is σ = 365217552. Its totient is φ = 59113472.

The previous prime is 150010879. The next prime is 150010919. The reversal of 150010880 is 88010051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424784 + ... + 425136.

Almost surely, 2150010880 is an apocalyptic number.

150010880 is a gapful number since it is divisible by the number (10) 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 150010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182608776).

150010880 is an abundant number, since it is smaller than the sum of its proper divisors (215206672).

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

150010880 is an equidigital number, since it uses as much as digits as its factorization.

150010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 150010880 is about 12247.8928800018. The cubic root of 150010880 is about 531.3421306421.

The spelling of 150010880 in words is "one hundred fifty million, ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 353 415 512 640 664 706 830 1024 1280 1328 1412 1660 1765 2560 2656 2824 3320 3530 5120 5312 5648 6640 7060 10624 11296 13280 14120 21248 22592 26560 28240 29299 42496 45184 53120 56480 58598 84992 90368 106240 112960 117196 146495 180736 212480 225920 234392 292990 361472 424960 451840 468784 585980 903680 937568 1171960 1807360 1875136 2343920 3750272 4687840 7500544 9375680 15001088 18751360 30002176 37502720 75005440 150010880