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645656640 = 26351016659
BaseRepresentation
bin100110011110111…
…111000001000000
31122222220202101220
4212132333001000
52310242003030
6144022355040
721666663606
oct4636770100
91588822356
10645656640
11301502432
1216028ba80
13a39c3065
1461a6d876
153ba3aa10
hex267bf040

645656640 has 112 divisors (see below), whose sum is σ = 2070567360. Its totient is φ = 170444800.

The previous prime is 645656629. The next prime is 645656677. The reversal of 645656640 is 46656546.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 645656592 and 645656601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93631 + ... + 100289.

Almost surely, 2645656640 is an apocalyptic number.

645656640 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 645656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035283680).

645656640 is an abundant number, since it is smaller than the sum of its proper divisors (1424910720).

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

645656640 is a wasteful number, since it uses less digits than its factorization.

645656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6780 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 645656640 is about 25409.7744972284. The cubic root of 645656640 is about 864.3053618855.

The spelling of 645656640 in words is "six hundred forty-five million, six hundred fifty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 6464 6659 8080 9696 12120 13318 16160 19392 19977 24240 26636 32320 33295 39954 48480 53272 66590 79908 96960 99885 106544 133180 159816 199770 213088 266360 319632 399540 426176 532720 639264 672559 799080 1065440 1278528 1345118 1598160 2017677 2130880 2690236 3196320 3362795 4035354 5380472 6392640 6725590 8070708 10088385 10760944 13451180 16141416 20176770 21521888 26902360 32282832 40353540 43043776 53804720 64565664 80707080 107609440 129131328 161414160 215218880 322828320 645656640