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645414840 = 233257256117
BaseRepresentation
bin100110011110000…
…011111110111000
31122222110110201100
4212132003332320
52310211233330
6144013251400
721664635630
oct4636037670
91588413640
10645414840
113013577a4
12160193b60
13a3939c95
1461a096c0
153b9de060
hex26783fb8

645414840 has 96 divisors (see below), whose sum is σ = 2397264480. Its totient is φ = 147522816.

The previous prime is 645414839. The next prime is 645414863. The reversal of 645414840 is 48414546.

It is a happy number.

645414840 is a `hidden beast` number, since 645 + 4 + 1 + 4 + 8 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 645414795 and 645414804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125539 + ... + 130578.

It is an arithmetic number, because the mean of its divisors is an integer number (24971505).

Almost surely, 2645414840 is an apocalyptic number.

645414840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

645414840 is an abundant number, since it is smaller than the sum of its proper divisors (1751849640).

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

645414840 is a wasteful number, since it uses less digits than its factorization.

645414840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256141 (or 256134 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 645414840 is about 25405.0160401445. The cubic root of 645414840 is about 864.1974535856.

The spelling of 645414840 in words is "six hundred forty-five million, four hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 256117 512234 768351 1024468 1280585 1536702 1792819 2048936 2305053 2561170 3073404 3585638 3841755 4610106 5122340 5378457 6146808 7171276 7683510 8964095 9220212 10244680 10756914 11525265 14342552 15367020 16135371 17928190 18440424 21513828 23050530 26892285 30734040 32270742 35856380 43027656 46101060 53784570 64541484 71712760 80676855 92202120 107569140 129082968 161353710 215138280 322707420 645414840