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150760480 = 2551372481
BaseRepresentation
bin10001111110001…
…10110000100000
3101111200102111111
420333012300200
5302043313410
622543153104
73510304633
oct1077066040
9344612444
10150760480
1178111642
12425a5794
13253070b0
1416045c1a
15d37eb8a
hex8fc6c20

150760480 has 48 divisors (see below), whose sum is σ = 383574744. Its totient is φ = 55664640.

The previous prime is 150760457. The next prime is 150760481. The reversal of 150760480 is 84067051.

150760480 = T2761 + T2762 + ... + T2799.

It can be written as a sum of positive squares in 4 ways, for example, as 83978896 + 66781584 = 9164^2 + 8172^2 .

It is not an unprimeable number, because it can be changed into a prime (150760481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34161 + ... + 38320.

Almost surely, 2150760480 is an apocalyptic number.

150760480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150760480 is an abundant number, since it is smaller than the sum of its proper divisors (232814264).

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

150760480 is a wasteful number, since it uses less digits than its factorization.

150760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72509 (or 72501 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 150760480 is about 12278.4559289839. The cubic root of 150760480 is about 532.2256942775.

The spelling of 150760480 in words is "one hundred fifty million, seven hundred sixty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 72481 144962 289924 362405 579848 724810 942253 1159696 1449620 1884506 2319392 2899240 3769012 4711265 5798480 7538024 9422530 11596960 15076048 18845060 30152096 37690120 75380240 150760480