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13064640 = 263531439
BaseRepresentation
bin110001110101…
…100111000000
3220120202022120
4301311213000
511321032030
61144004240
7216022221
oct61654700
926522276
1013064640
117413726
124460680
132925774
141a41248
151231010
hexc759c0

13064640 has 112 divisors (see below), whose sum is σ = 42915840. Its totient is φ = 3363840.

The previous prime is 13064633. The next prime is 13064641. The reversal of 13064640 is 4646031.

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 13064640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13064641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29541 + ... + 29979.

Almost surely, 213064640 is an apocalyptic number.

13064640 is a gapful number since it is divisible by the number (10) 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 13064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457920).

13064640 is an abundant number, since it is smaller than the sum of its proper divisors (29851200).

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

13064640 is a wasteful number, since it uses less digits than its factorization.

13064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 480 counting only the distinct ones).

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

The square root of 13064640 is about 3614.5041153663. The cubic root of 13064640 is about 235.5225432687.

The spelling of 13064640 in words is "thirteen million, sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 155 160 186 192 240 248 310 320 372 439 465 480 496 620 744 878 930 960 992 1240 1317 1488 1756 1860 1984 2195 2480 2634 2976 3512 3720 4390 4960 5268 5952 6585 7024 7440 8780 9920 10536 13170 13609 14048 14880 17560 21072 26340 27218 28096 29760 35120 40827 42144 52680 54436 68045 70240 81654 84288 105360 108872 136090 140480 163308 204135 210720 217744 272180 326616 408270 421440 435488 544360 653232 816540 870976 1088720 1306464 1633080 2177440 2612928 3266160 4354880 6532320 13064640