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1625060640 = 25357483649
BaseRepresentation
bin110000011011100…
…0111010100100000
311012020211122010010
41200313013110200
511312003420030
6425130404520
755161534060
oct14067072440
94166748103
101625060640
11764339125
12394290740
131cb89b758
14115b793a0
15979ee6b0
hex60dc7520

1625060640 has 96 divisors (see below), whose sum is σ = 5850230400. Its totient is φ = 371441664.

The previous prime is 1625060627. The next prime is 1625060737. The reversal of 1625060640 is 460605261.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1625060598 and 1625060607.

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 15 ways as a sum of consecutive naturals, for example, 238465 + ... + 245184.

It is an arithmetic number, because the mean of its divisors is an integer number (60939900).

Almost surely, 21625060640 is an apocalyptic number.

1625060640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1625060640 is an abundant number, since it is smaller than the sum of its proper divisors (4225169760).

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

1625060640 is a wasteful number, since it uses less digits than its factorization.

1625060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483674 (or 483666 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1625060640 is about 40312.0408811065. The cubic root of 1625060640 is about 1175.6819677744.

The spelling of 1625060640 in words is "one billion, six hundred twenty-five million, sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 483649 967298 1450947 1934596 2418245 2901894 3385543 3869192 4836490 5803788 6771086 7254735 7738384 9672980 10156629 11607576 13542172 14509470 15476768 16927715 19345960 20313258 23215152 27084344 29018940 33855430 38691920 40626516 46430304 50783145 54168688 58037880 67710860 77383840 81253032 101566290 108337376 116075760 135421720 162506064 203132580 232151520 270843440 325012128 406265160 541686880 812530320 1625060640