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13690512 = 2433114367
BaseRepresentation
bin110100001110…
…011010010000
3221202112212000
4310032122100
512001044022
61205234000
7224240013
oct64163220
927675760
1013690512
117800980
124702900
132ab45c4
141b6537a
1513066ac
hexd0e690

13690512 has 160 divisors (see below), whose sum is σ = 44520960. Its totient is φ = 3991680.

The previous prime is 13690511. The next prime is 13690513. The reversal of 13690512 is 21509631.

It is an interprime number because it is at equal distance from previous prime (13690511) and next prime (13690513).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13690511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204303 + ... + 204369.

It is an arithmetic number, because the mean of its divisors is an integer number (278256).

Almost surely, 213690512 is an apocalyptic number.

13690512 is a gapful number since it is divisible by the number (12) 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 13690512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22260480).

13690512 is an abundant number, since it is smaller than the sum of its proper divisors (30830448).

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

13690512 is a wasteful number, since it uses less digits than its factorization.

13690512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13690512 is about 3700.0691885423. The cubic root of 13690512 is about 239.2250000902.

The spelling of 13690512 in words is "thirteen million, six hundred ninety thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 43 44 48 54 66 67 72 86 88 99 108 129 132 134 144 172 176 198 201 216 258 264 268 297 344 387 396 402 432 473 516 528 536 594 603 688 737 774 792 804 946 1032 1072 1161 1188 1206 1419 1474 1548 1584 1608 1809 1892 2064 2211 2322 2376 2412 2838 2881 2948 3096 3216 3618 3784 4257 4422 4644 4752 4824 5676 5762 5896 6192 6633 7236 7568 8514 8643 8844 9288 9648 11352 11524 11792 12771 13266 14472 17028 17286 17688 18576 19899 22704 23048 25542 25929 26532 28944 31691 34056 34572 35376 39798 46096 51084 51858 53064 63382 68112 69144 77787 79596 95073 102168 103716 106128 126764 138288 155574 159192 190146 204336 207432 253528 285219 311148 318384 380292 414864 507056 570438 622296 760584 855657 1140876 1244592 1521168 1711314 2281752 3422628 4563504 6845256 13690512