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640481280 = 2113520849
BaseRepresentation
bin100110001011001…
…111100000000000
31122122011211010220
4212023033200000
52302430400110
6143315423040
721605000235
oct4613174000
91578154126
10640481280
112a959807a
1215a5b4a80
13a290050a
14610c378c
153b367370
hex262cf800

640481280 has 96 divisors (see below), whose sum is σ = 2049138000. Its totient is φ = 170786816.

The previous prime is 640481251. The next prime is 640481287. The reversal of 640481280 is 82184046.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640481287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20296 + ... + 41144.

Almost surely, 2640481280 is an apocalyptic number.

640481280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024569000).

640481280 is an abundant number, since it is smaller than the sum of its proper divisors (1408656720).

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

640481280 is a wasteful number, since it uses less digits than its factorization.

640481280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20879 (or 20859 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 640481280 is about 25307.7316249402. The cubic root of 640481280 is about 861.9898398718.

The spelling of 640481280 in words is "six hundred forty million, four hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 20849 30720 41698 62547 83396 104245 125094 166792 208490 250188 312735 333584 416980 500376 625470 667168 833960 1000752 1250940 1334336 1667920 2001504 2501880 2668672 3335840 4003008 5003760 5337344 6671680 8006016 10007520 10674688 13343360 16012032 20015040 21349376 26686720 32024064 40030080 42698752 53373440 64048128 80060160 106746880 128096256 160120320 213493760 320240640 640481280