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13979364 = 2237192461
BaseRepresentation
bin110101010100…
…111011100100
3222022020002020
4311110323210
512034314424
61215343140
7226552110
oct65247344
928266066
1013979364
1179889a3
124821ab0
132b85c19
141bdc740
151362079
hexd54ee4

13979364 has 72 divisors (see below), whose sum is σ = 39428928. Its totient is φ = 3775680.

The previous prime is 13979347. The next prime is 13979387. The reversal of 13979364 is 46397931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30094 + ... + 30554.

It is an arithmetic number, because the mean of its divisors is an integer number (547624).

Almost surely, 213979364 is an apocalyptic number.

13979364 is a gapful number since it is divisible by the number (14) 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 13979364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714464).

13979364 is an abundant number, since it is smaller than the sum of its proper divisors (25449564).

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

13979364 is a wasteful number, since it uses less digits than its factorization.

13979364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its digits is 122472, while the sum is 42.

The square root of 13979364 is about 3738.8987683541. The cubic root of 13979364 is about 240.8957498637.

The spelling of 13979364 in words is "thirteen million, nine hundred seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 461 532 722 798 922 1083 1383 1444 1596 1844 2166 2527 2766 3227 4332 5054 5532 6454 7581 8759 9681 10108 12908 15162 17518 19362 26277 30324 35036 38724 52554 61313 105108 122626 166421 183939 245252 332842 367878 499263 665684 735756 998526 1164947 1997052 2329894 3494841 4659788 6989682 13979364