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640659456 = 212341931
BaseRepresentation
bin100110001011111…
…011000000000000
31122122111212120000
4212023323000000
52303002100311
6143323320000
721606341553
oct4613730000
91578455500
10640659456
112a96a9a28
1215a680000
13a2963648
146112c69a
153b3a0056
hex262fb000

640659456 has 130 divisors (see below), whose sum is σ = 1914826452. Its totient is φ = 213442560.

The previous prime is 640659421. The next prime is 640659473. The reversal of 640659456 is 654956046.

640659456 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 594 + 56 = 666.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 330811 + ... + 332741.

Almost surely, 2640659456 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 640659456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957413226).

640659456 is an abundant number, since it is smaller than the sum of its proper divisors (1274166996).

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

640659456 is an equidigital number, since it uses as much as digits as its factorization.

640659456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 640659456 is about 25311.2515692132. The cubic root of 640659456 is about 862.0697650086.

The spelling of 640659456 in words is "six hundred forty million, six hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 1931 2048 2304 2592 3072 3456 3862 4096 4608 5184 5793 6144 6912 7724 9216 10368 11586 12288 13824 15448 17379 18432 20736 23172 27648 30896 34758 36864 41472 46344 52137 55296 61792 69516 82944 92688 104274 110592 123584 139032 156411 165888 185376 208548 247168 278064 312822 331776 370752 417096 494336 556128 625644 741504 834192 988672 1112256 1251288 1483008 1668384 1977344 2224512 2502576 2966016 3336768 3954688 4449024 5005152 5932032 6673536 7909376 8898048 10010304 11864064 13347072 17796096 20020608 23728128 26694144 35592192 40041216 53388288 71184384 80082432 106776576 160164864 213553152 320329728 640659456