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13314930 = 235232839
BaseRepresentation
bin110010110010…
…101101110010
3221001110122120
4302302231302
511402034210
61153215110
7221114016
oct62625562
927043576
1013314930
117574782
124561496
1329b2675
141aa8546
151280270
hexcb2b72

13314930 has 48 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 3392224.

The previous prime is 13314919. The next prime is 13314941. The reversal of 13314930 is 3941331.

It is an interprime number because it is at equal distance from previous prime (13314919) and next prime (13314941).

It is a self number, because there is not a number n which added to its sum of digits gives 13314930.

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, 15451 + ... + 16289.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 213314930 is an apocalyptic number.

13314930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

13314930 is an abundant number, since it is smaller than the sum of its proper divisors (20130510).

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

13314930 is a wasteful number, since it uses less digits than its factorization.

13314930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13314930 is about 3648.9628663498. The cubic root of 13314930 is about 237.0170722449.

The spelling of 13314930 in words is "thirteen million, three hundred fourteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 839 1058 1587 1678 2517 2645 3174 4195 5034 5290 7935 8390 12585 15870 19297 25170 38594 57891 96485 115782 192970 289455 443831 578910 887662 1331493 2219155 2662986 4438310 6657465 13314930