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512680080 = 243511194197
BaseRepresentation
bin11110100011101…
…110000010010000
31022201200211212010
4132203232002100
52022221230310
6122512302520
715463465053
oct3643560220
91281624763
10512680080
11243438150
12123841a40
13822a47c3
144c136a9a
1530020320
hex1e8ee090

512680080 has 80 divisors (see below), whose sum is σ = 1733799744. Its totient is φ = 124285440.

The previous prime is 512680073. The next prime is 512680081. The reversal of 512680080 is 80086215.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (512680081) by changing a digit.

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, 94459 + ... + 99738.

Almost surely, 2512680080 is an apocalyptic number.

It is an amenable number.

512680080 is an abundant number, since it is smaller than the sum of its proper divisors (1221119664).

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

512680080 is a wasteful number, since it uses less digits than its factorization.

512680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194224 (or 194218 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 512680080 is about 22642.4397978663. The cubic root of 512680080 is about 800.3540516195.

The spelling of 512680080 in words is "five hundred twelve million, six hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 194197 388394 582591 776788 970985 1165182 1553576 1941970 2136167 2330364 2912955 3107152 3883940 4272334 4660728 5825910 6408501 7767880 8544668 9321456 10680835 11651820 12817002 15535760 17089336 21361670 23303640 25634004 32042505 34178672 42723340 46607280 51268008 64085010 85446680 102536016 128170020 170893360 256340040 512680080