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13946520 = 2335716603
BaseRepresentation
bin110101001100…
…111010011000
3222020120000210
4311030322120
512032242040
61214531120
7226354260
oct65147230
928216023
1013946520
117966255
124806aa0
132b73ca3
141bd07a0
151357480
hexd4ce98

13946520 has 64 divisors (see below), whose sum is σ = 47819520. Its totient is φ = 3187584.

The previous prime is 13946503. The next prime is 13946531. The reversal of 13946520 is 2564931.

13946520 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139465202 = 389010840220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

13946520 is strictly pandigital in base 8.

It is a congruent number.

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, 7462 + ... + 9141.

It is an arithmetic number, because the mean of its divisors is an integer number (747180).

Almost surely, 213946520 is an apocalyptic number.

13946520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946520 is an abundant number, since it is smaller than the sum of its proper divisors (33873000).

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

13946520 is a wasteful number, since it uses less digits than its factorization.

13946520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16624 (or 16620 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13946520 is about 3734.5039831281. The cubic root of 13946520 is about 240.7069433627.

The spelling of 13946520 in words is "thirteen million, nine hundred forty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 16603 33206 49809 66412 83015 99618 116221 132824 166030 199236 232442 249045 332060 348663 398472 464884 498090 581105 664120 697326 929768 996180 1162210 1394652 1743315 1992360 2324420 2789304 3486630 4648840 6973260 13946520