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640602972 = 223331191339
BaseRepresentation
bin100110001011101…
…101001101011100
31122122102000002000
4212023231031130
52302443243342
6143322202300
721606015102
oct4613551534
91578360060
10640602972
112a9670549
1215a653390
13a2943a19
1461115c72
153b38d44c
hex262ed35c

640602972 has 48 divisors (see below), whose sum is σ = 1714406400. Its totient is φ = 206645040.

The previous prime is 640602961. The next prime is 640602973. The reversal of 640602972 is 279206046.

It is a happy number.

640602972 is a `hidden beast` number, since 6 + 40 + 602 + 9 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640602973) 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, 92322 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (35716800).

Almost surely, 2640602972 is an apocalyptic number.

640602972 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

640602972 is an abundant number, since it is smaller than the sum of its proper divisors (1073803428).

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

640602972 is a wasteful number, since it uses less digits than its factorization.

640602972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191383 (or 191375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 640602972 is about 25310.1357562539. The cubic root of 640602972 is about 862.0444293542.

The spelling of 640602972 in words is "six hundred forty million, six hundred two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 191339 382678 574017 765356 1148034 1722051 2296068 3444102 5166153 5931509 6888204 10332306 11863018 17794527 20664612 23726036 35589054 53383581 71178108 106767162 160150743 213534324 320301486 640602972