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645412860 = 2236544267
BaseRepresentation
bin100110011110000…
…011011111111100
31122222110101000000
4212132003133330
52310211202420
6144013234300
721664630101
oct4636033774
91588411000
10645412860
11301356264
12160192990
13a3939101
1461a08aa8
153b9dd690
hex267837fc

645412860 has 84 divisors (see below), whose sum is σ = 2032166808. Its totient is φ = 172106208.

The previous prime is 645412849. The next prime is 645412861. The reversal of 645412860 is 68214546.

645412860 is a `hidden beast` number, since 645 + 4 + 1 + 2 + 8 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645412861) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7554 + ... + 36713.

It is an arithmetic number, because the mean of its divisors is an integer number (24192462).

Almost surely, 2645412860 is an apocalyptic number.

645412860 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 645412860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016083404).

645412860 is an abundant number, since it is smaller than the sum of its proper divisors (1386753948).

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

645412860 is a wasteful number, since it uses less digits than its factorization.

645412860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44294 (or 44277 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 645412860 is about 25404.9770714323. The cubic root of 645412860 is about 864.1965698581.

The spelling of 645412860 in words is "six hundred forty-five million, four hundred twelve thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 44267 88534 132801 177068 221335 265602 398403 442670 531204 664005 796806 885340 1195209 1328010 1593612 1992015 2390418 2656020 3585627 3984030 4780836 5976045 7171254 7968060 10756881 11952090 14342508 17928135 21513762 23904180 32270643 35856270 43027524 53784405 64541286 71712540 107568810 129082572 161353215 215137620 322706430 645412860