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152764080 = 2435790931
BaseRepresentation
bin10010001101011…
…11111010110000
3101122110012220220
421012233322300
5303101422310
623054133040
73533321220
oct1106577260
9348405826
10152764080
117925aa07
12431b1180
1325859061
1416408080
15d628670
hex91afeb0

152764080 has 80 divisors (see below), whose sum is σ = 541227264. Its totient is φ = 34917120.

The previous prime is 152764067. The next prime is 152764081. The reversal of 152764080 is 80467251.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (152764081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43786 + ... + 47145.

Almost surely, 2152764080 is an apocalyptic number.

152764080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152764080 is an abundant number, since it is smaller than the sum of its proper divisors (388463184).

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

152764080 is a wasteful number, since it uses less digits than its factorization.

152764080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90954 (or 90948 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 152764080 is about 12359.7766970120. The cubic root of 152764080 is about 534.5730777609.

The spelling of 152764080 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 90931 181862 272793 363724 454655 545586 636517 727448 909310 1091172 1273034 1363965 1454896 1818620 1909551 2182344 2546068 2727930 3182585 3637240 3819102 4364688 5092136 5455860 6365170 7274480 7638204 9547755 10184272 10911720 12730340 15276408 19095510 21823440 25460680 30552816 38191020 50921360 76382040 152764080