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13966140 = 22351912251
BaseRepresentation
bin110101010001…
…101100111100
3222021112221110
4311101230330
512033404030
61215202020
7226465416
oct65215474
928245843
1013966140
117979a71
124816310
132b7cbb6
141bd79b6
15135d1b0
hexd51b3c

13966140 has 48 divisors (see below), whose sum is σ = 41166720. Its totient is φ = 3528000.

The previous prime is 13966103. The next prime is 13966153. The reversal of 13966140 is 4166931.

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 = 13966098 and 13966107.

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, 4986 + ... + 7265.

It is an arithmetic number, because the mean of its divisors is an integer number (857640).

Almost surely, 213966140 is an apocalyptic number.

13966140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966140 is an abundant number, since it is smaller than the sum of its proper divisors (27200580).

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

13966140 is a wasteful number, since it uses less digits than its factorization.

13966140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12280 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13966140 is about 3737.1299147875. The cubic root of 13966140 is about 240.8197661872.

The spelling of 13966140 in words is "thirteen million, nine hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 12251 24502 36753 49004 61255 73506 122510 147012 183765 232769 245020 367530 465538 698307 735060 931076 1163845 1396614 2327690 2793228 3491535 4655380 6983070 13966140