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13064240 = 245741569
BaseRepresentation
bin110001110101…
…100000110000
3220120201202202
4301311200300
511321023430
61144002332
7216021110
oct61654060
926521682
1013064240
1174133a2
1244603a8
132925527
141a41040
151230d45
hexc75830

13064240 has 80 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4362240.

The previous prime is 13064231. The next prime is 13064257. The reversal of 13064240 is 4246031.

It is a happy number.

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22676 + ... + 23244.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 213064240 is an apocalyptic number.

13064240 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 13064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13064240 is an abundant number, since it is smaller than the sum of its proper divisors (22558480).

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

13064240 is a wasteful number, since it uses less digits than its factorization.

13064240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 13064240 is about 3614.4487823180. The cubic root of 13064240 is about 235.5201395801.

The spelling of 13064240 in words is "thirteen million, sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 569 574 656 820 1138 1148 1435 1640 2276 2296 2845 2870 3280 3983 4552 4592 5690 5740 7966 9104 11380 11480 15932 19915 22760 22960 23329 31864 39830 45520 46658 63728 79660 93316 116645 159320 163303 186632 233290 318640 326606 373264 466580 653212 816515 933160 1306424 1633030 1866320 2612848 3266060 6532120 13064240