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640665360 = 243253724049
BaseRepresentation
bin100110001011111…
…100011100010000
31122122112011122200
4212023330130100
52303002242420
6143323403200
721606365016
oct4613743420
91578464580
10640665360
112a9703405
1215a683500
13a296623a
14611308b6
153b3a1b90
hex262fc710

640665360 has 120 divisors (see below), whose sum is σ = 2209810200. Its totient is φ = 166219776.

The previous prime is 640665331. The next prime is 640665373. The reversal of 640665360 is 63566046.

640665360 is a `hidden beast` number, since 64 + 0 + 66 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 172029456 + 468635904 = 13116^2 + 21648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×6406653603 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14616 + ... + 38664.

It is an arithmetic number, because the mean of its divisors is an integer number (18415085).

Almost surely, 2640665360 is an apocalyptic number.

640665360 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 640665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104905100).

640665360 is an abundant number, since it is smaller than the sum of its proper divisors (1569144840).

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

640665360 is a wasteful number, since it uses less digits than its factorization.

640665360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24105 (or 24096 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 640665360 is about 25311.3681969189. The cubic root of 640665360 is about 862.0724131364.

The spelling of 640665360 in words is "six hundred forty million, six hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 2220 2664 2960 3330 4440 5328 6660 8880 13320 24049 26640 48098 72147 96196 120245 144294 192392 216441 240490 288588 360735 384784 432882 480980 577176 721470 865764 889813 961960 1082205 1154352 1442940 1731528 1779626 1923920 2164410 2669439 2885880 3463056 3559252 4328820 4449065 5338878 5771760 7118504 8008317 8657640 8898130 10677756 13347195 14237008 16016634 17315280 17796260 21355512 26694390 32033268 35592520 40041585 42711024 53388780 64066536 71185040 80083170 106777560 128133072 160166340 213555120 320332680 640665360