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645646540 = 2257211101593
BaseRepresentation
bin100110011110111…
…100100011001100
31122222220020112211
4212132330203030
52310241142130
6144022240204
721666622300
oct4636744314
91588806484
10645646540
113014a5890
12160286064
13a39bb596
1461a69d00
153ba37a2a
hex267bc8cc

645646540 has 144 divisors (see below), whose sum is σ = 1740572064. Its totient is φ = 198912000.

The previous prime is 645646513. The next prime is 645646571. The reversal of 645646540 is 45646546.

It is a super-2 number, since 2×6456465402 = 833718909227943200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 645646493 and 645646502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088484 + ... + 1089076.

It is an arithmetic number, because the mean of its divisors is an integer number (12087306).

Almost surely, 2645646540 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 645646540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870286032).

645646540 is an abundant number, since it is smaller than the sum of its proper divisors (1094925524).

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

645646540 is a wasteful number, since it uses less digits than its factorization.

645646540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 645646540 is about 25409.5757540341. The cubic root of 645646540 is about 864.3008550888.

The spelling of 645646540 in words is "six hundred forty-five million, six hundred forty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 101 110 140 154 196 202 220 245 308 385 404 490 505 539 593 707 770 980 1010 1078 1111 1186 1414 1540 2020 2156 2222 2372 2695 2828 2965 3535 4151 4444 4949 5390 5555 5930 6523 7070 7777 8302 9898 10780 11110 11860 13046 14140 15554 16604 19796 20755 22220 24745 26092 29057 31108 32615 38885 41510 45661 49490 54439 58114 59893 65230 77770 83020 91322 98980 108878 116228 119786 130460 145285 155540 182644 217756 228305 239572 272195 290570 299465 319627 419251 456610 544390 581140 598930 639254 658823 838502 913220 1088780 1197860 1278508 1317646 1598135 1677004 2096255 2635292 2934757 3196270 3294115 4192510 4611761 5869514 6392540 6588230 8385020 9223522 11739028 13176460 14673785 18447044 23058805 29347570 32282327 46117610 58695140 64564654 92235220 129129308 161411635 322823270 645646540