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2712900480 = 27351412969
BaseRepresentation
bin1010000110110011…
…1001001110000000
321000001210121211120
42201230321032000
521024000303410
61125110512240
7124141162563
oct24154711600
97001717746
102712900480
1111723a8314
12638665680
13343082574
141ba4304da
1510d282570
hexa1b39380

2712900480 has 64 divisors (see below), whose sum is σ = 8647376400. Its totient is φ = 723439616.

The previous prime is 2712900473. The next prime is 2712900521. The reversal of 2712900480 is 840092172.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 704565 + ... + 708404.

Almost surely, 22712900480 is an apocalyptic number.

2712900480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2712900480 is an abundant number, since it is smaller than the sum of its proper divisors (5934475920).

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

2712900480 is a wasteful number, since it uses less digits than its factorization.

2712900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412991 (or 1412979 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2712900480 is about 52085.5112291317. The cubic root of 2712900480 is about 1394.6908578725.

The spelling of 2712900480 in words is "two billion, seven hundred twelve million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1412969 2825938 4238907 5651876 7064845 8477814 11303752 14129690 16955628 21194535 22607504 28259380 33911256 42389070 45215008 56518760 67822512 84778140 90430016 113037520 135645024 169556280 180860032 226075040 271290048 339112560 452150080 542580096 678225120 904300160 1356450240 2712900480