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13943136 = 253612381
BaseRepresentation
bin110101001100…
…000101100000
3222020101101110
4311030011200
512032140021
61214503320
7226341354
oct65140540
928211343
1013943136
117963759
124804b40
132b7259c
141bcd464
151356476
hexd4c160

13943136 has 48 divisors (see below), whose sum is σ = 37216368. Its totient is φ = 4569600.

The previous prime is 13943107. The next prime is 13943141. The reversal of 13943136 is 63134931.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×139431362 = 388822083028992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4666 + ... + 7046.

It is an arithmetic number, because the mean of its divisors is an integer number (775341).

Almost surely, 213943136 is an apocalyptic number.

13943136 is a gapful number since it is divisible by the number (16) 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 13943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608184).

13943136 is an abundant number, since it is smaller than the sum of its proper divisors (23273232).

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

13943136 is a wasteful number, since it uses less digits than its factorization.

13943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 13943136 is about 3734.0508834241. The cubic root of 13943136 is about 240.6874733160.

The spelling of 13943136 in words is "thirteen million, nine hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2381 2928 4762 5856 7143 9524 14286 19048 28572 38096 57144 76192 114288 145241 228576 290482 435723 580964 871446 1161928 1742892 2323856 3485784 4647712 6971568 13943136