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13814940 = 22351931193
BaseRepresentation
bin110100101100…
…110010011100
3221222212112110
4310230302130
512014034230
61212034020
7225265536
oct64546234
927885473
1013814940
117886407
124762910
132b29129
141b98856
15132d4b0
hexd2cc9c

13814940 has 48 divisors (see below), whose sum is σ = 38914848. Its totient is φ = 3661824.

The previous prime is 13814939. The next prime is 13814951. The reversal of 13814940 is 4941831.

It is a happy number.

13814940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13814898 and 13814907.

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, 10984 + ... + 12176.

It is an arithmetic number, because the mean of its divisors is an integer number (810726).

Almost surely, 213814940 is an apocalyptic number.

13814940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13814940 is an abundant number, since it is smaller than the sum of its proper divisors (25099908).

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

13814940 is a wasteful number, since it uses less digits than its factorization.

13814940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13814940 is about 3716.8454366573. The cubic root of 13814940 is about 239.9475579863.

The spelling of 13814940 in words is "thirteen million, eight hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 193 386 579 772 965 1158 1193 1930 2316 2386 2895 3579 3860 4772 5790 5965 7158 11580 11930 14316 17895 23860 35790 71580 230249 460498 690747 920996 1151245 1381494 2302490 2762988 3453735 4604980 6907470 13814940