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640139920 = 24572732237
BaseRepresentation
bin100110001001111…
…100001010010000
31122121112110212221
4212021330022100
52302333434140
6143304230424
721602046100
oct4611741220
91577473787
10640139920
112a9384662
1215a46b414
13a2811024
1461035200
153b2eb14a
hex2627c290

640139920 has 120 divisors (see below), whose sum is σ = 1755818424. Its totient is φ = 216373248.

The previous prime is 640139893. The next prime is 640139999. The reversal of 640139920 is 29931046.

It can be written as a sum of positive squares in 4 ways, for example, as 154554624 + 485585296 = 12432^2 + 22036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285042 + ... + 287278.

Almost surely, 2640139920 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 640139920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877909212).

640139920 is an abundant number, since it is smaller than the sum of its proper divisors (1115678504).

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

640139920 is a wasteful number, since it uses less digits than its factorization.

640139920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 640139920 is about 25300.9865420303. The cubic root of 640139920 is about 861.8366732078.

The spelling of 640139920 in words is "six hundred forty million, one hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 73 80 98 112 140 146 196 245 280 292 365 392 490 511 560 584 730 784 980 1022 1168 1460 1960 2044 2237 2555 2920 3577 3920 4088 4474 5110 5840 7154 8176 8948 10220 11185 14308 15659 17885 17896 20440 22370 28616 31318 35770 35792 40880 44740 57232 62636 71540 78295 89480 109613 125272 143080 156590 163301 178960 219226 250544 286160 313180 326602 438452 548065 626360 653204 816505 876904 1096130 1143107 1252720 1306408 1633010 1753808 2192260 2286214 2612816 3266020 4384520 4572428 5715535 6532040 8001749 8769040 9144856 11431070 13064080 16003498 18289712 22862140 32006996 40008745 45724280 64013992 80017490 91448560 128027984 160034980 320069960 640139920