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13966040 = 2351131741
BaseRepresentation
bin110101010001…
…101011011000
3222021112210202
4311101223120
512033403130
61215201332
7226465214
oct65215330
928245722
1013966040
117979990
124816248
132b7cb3a
141bd7944
15135d145
hexd51ad8

13966040 has 32 divisors (see below), whose sum is σ = 34281360. Its totient is φ = 5078400.

The previous prime is 13966039. The next prime is 13966091. The reversal of 13966040 is 4066931.

13966040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13965994 and 13966012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15431 + ... + 16310.

Almost surely, 213966040 is an apocalyptic number.

13966040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966040 is an abundant number, since it is smaller than the sum of its proper divisors (20315320).

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

13966040 is a wasteful number, since it uses less digits than its factorization.

13966040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31763 (or 31759 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 13966040 is about 3737.1165355124. The cubic root of 13966040 is about 240.8191914153.

The spelling of 13966040 in words is "thirteen million, nine hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 31741 63482 126964 158705 253928 317410 349151 634820 698302 1269640 1396604 1745755 2793208 3491510 6983020 13966040