Search a number
-
+
664013040 = 24354167481
BaseRepresentation
bin100111100101000…
…000100011110000
31201021110100122120
4213211000203300
52324441404130
6145520034240
722312006035
oct4745004360
91637410576
10664013040
113108aa909
12166462980
13a774c332
146428b38c
153d464910
hex279408f0

664013040 has 80 divisors (see below), whose sum is σ = 2108677536. Its totient is φ = 172748800.

The previous prime is 664013033. The next prime is 664013041. The reversal of 664013040 is 40310466.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 664013040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664013041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23901 + ... + 43580.

Almost surely, 2664013040 is an apocalyptic number.

664013040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

664013040 is an abundant number, since it is smaller than the sum of its proper divisors (1444664496).

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

664013040 is a wasteful number, since it uses less digits than its factorization.

664013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67538 (or 67532 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 664013040 is about 25768.4504772794. The cubic root of 664013040 is about 872.4198452377.

The spelling of 664013040 in words is "six hundred sixty-four million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 67481 134962 202443 269924 337405 404886 539848 674810 809772 1012215 1079696 1349620 1619544 2024430 2699240 2766721 3239088 4048860 5398480 5533442 8097720 8300163 11066884 13833605 16195440 16600326 22133768 27667210 33200652 41500815 44267536 55334420 66401304 83001630 110668840 132802608 166003260 221337680 332006520 664013040