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640479136 = 25112533121
BaseRepresentation
bin100110001011001…
…110111110100000
31122122011201012111
4212023032332200
52302430313021
6143315405104
721604661053
oct4613167640
91578151174
10640479136
112a9596500
1215a5b3794
13a28cc54b
14610c2a9a
153b3668e1
hex262cefa0

640479136 has 72 divisors (see below), whose sum is σ = 1412598852. Its totient is φ = 285542400.

The previous prime is 640479107. The next prime is 640479157. The reversal of 640479136 is 631974046.

640479136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 596336400 + 44142736 = 24420^2 + 6644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 203656 + ... + 206776.

Almost surely, 2640479136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640479136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706299426).

640479136 is an abundant number, since it is smaller than the sum of its proper divisors (772119716).

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

640479136 is a wasteful number, since it uses less digits than its factorization.

640479136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 640479136 is about 25307.6892663080. The cubic root of 640479136 is about 861.9888780387.

The spelling of 640479136 in words is "six hundred forty million, four hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 121 176 212 242 352 424 484 583 848 968 1166 1696 1936 2332 3121 3872 4664 6242 6413 9328 12484 12826 18656 24968 25652 34331 49936 51304 68662 99872 102608 137324 165413 205216 274648 330826 377641 549296 661652 755282 1098592 1323304 1510564 1819543 2646608 3021128 3639086 5293216 6042256 7278172 12084512 14556344 20014973 29112688 40029946 58225376 80059892 160119784 320239568 640479136