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664253460 = 223451331541
BaseRepresentation
bin100111100101111…
…011010000010100
31201021220120110000
4213211323100110
52330022102320
6145525131300
722314030003
oct4745732024
91637816400
10664253460
11310a54502
12166559b30
13a78048b0
1464310c3a
153d4b0c90
hex2797b414

664253460 has 120 divisors (see below), whose sum is σ = 2244150216. Its totient is φ = 163503360.

The previous prime is 664253453. The next prime is 664253483. The reversal of 664253460 is 64352466.

664253460 is a `hidden beast` number, since 6 + 64 + 2 + 534 + 60 = 666.

664253460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34644996 + 629608464 = 5886^2 + 25092^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5290 + ... + 36830.

Almost surely, 2664253460 is an apocalyptic number.

664253460 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 664253460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122075108).

664253460 is an abundant number, since it is smaller than the sum of its proper divisors (1579896756).

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

664253460 is a wasteful number, since it uses less digits than its factorization.

664253460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31575 (or 31564 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 664253460 is about 25773.1150620176. The cubic root of 664253460 is about 872.5251252333.

The spelling of 664253460 in words is "six hundred sixty-four million, two hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 31541 63082 94623 126164 157705 189246 283869 315410 378492 410033 473115 567738 630820 820066 851607 946230 1135476 1230099 1419345 1640132 1703214 1892460 2050165 2460198 2554821 2838690 3406428 3690297 4100330 4258035 4920396 5109642 5677380 6150495 7380594 8200660 8516070 10219284 11070891 12300990 12774105 14761188 17032140 18451485 22141782 24601980 25548210 33212673 36902970 44283564 51096420 55354455 66425346 73805940 110708910 132850692 166063365 221417820 332126730 664253460