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645640960 = 2851729671
BaseRepresentation
bin100110011110111…
…011001100000000
31122222212221220011
4212132323030000
52310241002320
6144022154304
721666600106
oct4636731400
91588787804
10645640960
113014a1678
12160282994
13a39b8b93
1461a67c76
153ba3605a
hex267bb300

645640960 has 72 divisors (see below), whose sum is σ = 1637538336. Its totient is φ = 243056640.

The previous prime is 645640921. The next prime is 645641041. The reversal of 645640960 is 69046546.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6925 + ... + 36595.

It is an arithmetic number, because the mean of its divisors is an integer number (22743588).

Almost surely, 2645640960 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 645640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818769168).

645640960 is an abundant number, since it is smaller than the sum of its proper divisors (991897376).

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

645640960 is a wasteful number, since it uses less digits than its factorization.

645640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29709 (or 29695 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 645640960 is about 25409.4659526720. The cubic root of 645640960 is about 864.2983651750.

The spelling of 645640960 in words is "six hundred forty-five million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 21760 29671 59342 118684 148355 237368 296710 474736 504407 593420 949472 1008814 1186840 1898944 2017628 2373680 2522035 3797888 4035256 4747360 5044070 7595776 8070512 9494720 10088140 16141024 18989440 20176280 32282048 37978880 40352560 64564096 80705120 129128192 161410240 322820480 645640960