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13993460 = 22513107503
BaseRepresentation
bin110101011000…
…010111110100
3222022221102022
4311120113310
512040242320
61215532312
7226641155
oct65302764
928287368
1013993460
117998548
12482a098
132b8c470
141c0392c
151366325
hexd585f4

13993460 has 48 divisors (see below), whose sum is σ = 32006016. Its totient is φ = 5108352.

The previous prime is 13993459. The next prime is 13993471. The reversal of 13993460 is 6439931.

It is a self number, because there is not a number n which added to its sum of digits gives 13993460.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27569 + ... + 28071.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 213993460 is an apocalyptic number.

13993460 is a gapful number since it is divisible by the number (10) 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 13993460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003008).

13993460 is an abundant number, since it is smaller than the sum of its proper divisors (18012556).

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

13993460 is a wasteful number, since it uses less digits than its factorization.

13993460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The square root of 13993460 is about 3740.7833404248. The cubic root of 13993460 is about 240.9766912140.

The spelling of 13993460 in words is "thirteen million, nine hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 503 535 1006 1070 1391 2012 2140 2515 2782 5030 5564 6539 6955 10060 13078 13910 26156 27820 32695 53821 65390 107642 130780 215284 269105 538210 699673 1076420 1399346 2798692 3498365 6996730 13993460