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13713364 = 22719149173
BaseRepresentation
bin110100010011…
…111111010100
3221210201012101
4310103333110
512002311424
61205531444
7224363440
oct64237724
927721171
1013713364
117817065
124713b84
132ac1b22
141b6d820
15130d344
hexd13fd4

13713364 has 48 divisors (see below), whose sum is σ = 29232000. Its totient is φ = 5498496.

The previous prime is 13713299. The next prime is 13713389. The reversal of 13713364 is 46331731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 79182 + ... + 79354.

It is an arithmetic number, because the mean of its divisors is an integer number (609000).

Almost surely, 213713364 is an apocalyptic number.

13713364 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 13713364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616000).

13713364 is an abundant number, since it is smaller than the sum of its proper divisors (15518636).

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

13713364 is a wasteful number, since it uses less digits than its factorization.

13713364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 350 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 13713364 is about 3703.1559513474. The cubic root of 13713364 is about 239.3580297104.

The spelling of 13713364 in words is "thirteen million, seven hundred thirteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 149 173 266 298 346 532 596 692 1043 1211 2086 2422 2831 3287 4172 4844 5662 6574 11324 13148 19817 23009 25777 39634 46018 51554 79268 92036 103108 180439 360878 489763 721756 979526 1959052 3428341 6856682 13713364