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13918032 = 2432195087
BaseRepresentation
bin110101000101…
…111101010000
3222012002221200
4311011331100
512030334112
61214151200
7226205232
oct65057520
928162850
1013918032
117946907
1247b2500
132b6402b
141bc4252
15134dcdc
hexd45f50

13918032 has 60 divisors (see below), whose sum is σ = 41009280. Its totient is φ = 4394304.

The previous prime is 13918027. The next prime is 13918043. The reversal of 13918032 is 23081931.

13918032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×139180322 = 387423229506048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13917987 and 13918005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193 + ... + 5279.

It is an arithmetic number, because the mean of its divisors is an integer number (683488).

Almost surely, 213918032 is an apocalyptic number.

13918032 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 13918032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20504640).

13918032 is an abundant number, since it is smaller than the sum of its proper divisors (27091248).

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

13918032 is a wasteful number, since it uses less digits than its factorization.

13918032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 13918032 is about 3730.6878722295. The cubic root of 13918032 is about 240.5429374858.

Adding to 13918032 its reverse (23081931), we get a palindrome (36999963).

The spelling of 13918032 in words is "thirteen million, nine hundred eighteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 5087 10174 15261 20348 30522 40696 45783 61044 81392 91566 96653 122088 183132 193306 244176 289959 366264 386612 579918 732528 773224 869877 1159836 1546448 1739754 2319672 3479508 4639344 6959016 13918032