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150082560 = 2103253257
BaseRepresentation
bin10001111001000…
…01010000000000
3101110101222120100
420330201100000
5301410120220
622520442400
73501452325
oct1074412000
9343358510
10150082560
1177799281
1242319400
132512a664
1415d0ab4c
15d298d90
hex8f21400

150082560 has 132 divisors (see below), whose sum is σ = 520191828. Its totient is φ = 40009728.

The previous prime is 150082553. The next prime is 150082573. The reversal of 150082560 is 65280051.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 56070144 = 9696^2 + 7488^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44452 + ... + 47708.

Almost surely, 2150082560 is an apocalyptic number.

150082560 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 150082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260095914).

150082560 is an abundant number, since it is smaller than the sum of its proper divisors (370109268).

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

150082560 is a wasteful number, since it uses less digits than its factorization.

150082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150082560 is about 12250.8187481490. The cubic root of 150082560 is about 531.4267479250.

The spelling of 150082560 in words is "one hundred fifty million, eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3257 3840 4608 5120 5760 6514 7680 9216 9771 11520 13028 15360 16285 19542 23040 26056 29313 32570 39084 46080 48855 52112 58626 65140 78168 97710 104224 117252 130280 146565 156336 195420 208448 234504 260560 293130 312672 390840 416896 469008 521120 586260 625344 781680 833792 938016 1042240 1172520 1250688 1563360 1667584 1876032 2084480 2345040 2501376 3126720 3335168 3752064 4168960 4690080 5002752 6253440 7504128 8337920 9380160 10005504 12506880 15008256 16675840 18760320 25013760 30016512 37520640 50027520 75041280 150082560