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13814010 = 233577309
BaseRepresentation
bin110100101100…
…100011111010
3221222211021000
4310230203322
512014022020
61212025430
7225263040
oct64544372
927884230
1013814010
117885741
124762276
132b28892
141b98390
15132d090
hexd2c8fa

13814010 has 64 divisors (see below), whose sum is σ = 42105600. Its totient is φ = 3157056.

The previous prime is 13813997. The next prime is 13814027. The reversal of 13814010 is 1041831.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 1765 + ... + 5544.

It is an arithmetic number, because the mean of its divisors is an integer number (657900).

Almost surely, 213814010 is an apocalyptic number.

13814010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13814010 is an abundant number, since it is smaller than the sum of its proper divisors (28291590).

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

13814010 is a wasteful number, since it uses less digits than its factorization.

13814010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 13814010 is about 3716.7203284616. The cubic root of 13814010 is about 239.9421735682.

Adding to 13814010 its reverse (1041831), we get a palindrome (14855841).

The spelling of 13814010 in words is "thirteen million, eight hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 7309 14618 21927 36545 43854 51163 65781 73090 102326 109635 131562 153489 197343 219270 255815 306978 328905 394686 460467 511630 657810 767445 920934 986715 1381401 1534890 1973430 2302335 2762802 4604670 6907005 13814010