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13690752 = 273101353
BaseRepresentation
bin110100001110…
…011110000000
3221202120011220
4310032132000
512001101002
61205235040
7224240505
oct64163600
927676156
1013690752
117801079
124702a80
132ab474a
141b654ac
1513067bc
hexd0e780

13690752 has 64 divisors (see below), whose sum is σ = 36830160. Its totient is φ = 4505600.

The previous prime is 13690751. The next prime is 13690753. The reversal of 13690752 is 25709631.

It is an interprime number because it is at equal distance from previous prime (13690751) and next prime (13690753).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13690751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38608 + ... + 38960.

Almost surely, 213690752 is an apocalyptic number.

13690752 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 13690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18415080).

13690752 is an abundant number, since it is smaller than the sum of its proper divisors (23139408).

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

13690752 is a wasteful number, since it uses less digits than its factorization.

13690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 13690752 is about 3700.1016202261. The cubic root of 13690752 is about 239.2263979845.

The spelling of 13690752 in words is "thirteen million, six hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 353 384 404 606 706 808 1059 1212 1412 1616 2118 2424 2824 3232 4236 4848 5648 6464 8472 9696 11296 12928 16944 19392 22592 33888 35653 38784 45184 67776 71306 106959 135552 142612 213918 285224 427836 570448 855672 1140896 1711344 2281792 3422688 4563584 6845376 13690752