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645265680 = 24357934033
BaseRepresentation
bin100110011101011…
…111100100010000
31122222011220002220
4212131133210100
52310142000210
6144010141040
721663445023
oct4635374420
91588156086
10645265680
11301265724
12160121780
13a38b7117
14619ab1ba
153b9aec70
hex2675f910

645265680 has 80 divisors (see below), whose sum is σ = 2025703680. Its totient is φ = 169887744.

The previous prime is 645265637. The next prime is 645265703. The reversal of 645265680 is 86562546.

645265680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1944 + ... + 35976.

It is an arithmetic number, because the mean of its divisors is an integer number (25321296).

Almost surely, 2645265680 is an apocalyptic number.

645265680 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 645265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012851840).

645265680 is an abundant number, since it is smaller than the sum of its proper divisors (1380438000).

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

645265680 is a wasteful number, since it uses less digits than its factorization.

645265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34128 (or 34122 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 645265680 is about 25402.0802297765. The cubic root of 645265680 is about 864.1308743792.

The spelling of 645265680 in words is "six hundred forty-five million, two hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2370 3160 3792 4740 6320 9480 18960 34033 68066 102099 136132 170165 204198 272264 340330 408396 510495 544528 680660 816792 1020990 1361320 1633584 2041980 2688607 2722640 4083960 5377214 8065821 8167920 10754428 13443035 16131642 21508856 26886070 32263284 40329105 43017712 53772140 64526568 80658210 107544280 129053136 161316420 215088560 322632840 645265680