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13966940 = 2251353719
BaseRepresentation
bin110101010001…
…111001011100
3222021121001002
4311101321130
512033420230
61215205432
7226500641
oct65217134
928247032
1013966940
11797a629
124816878
132b80380
141bd7dc8
15135d545
hexd51e5c

13966940 has 24 divisors (see below), whose sum is σ = 31587360. Its totient is φ = 5156928.

The previous prime is 13966879. The next prime is 13966949. The reversal of 13966940 is 4966931.

It is a Smith number, since the sum of its digits (38) 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 = 13966894 and 13966903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13966949) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26600 + ... + 27119.

It is an arithmetic number, because the mean of its divisors is an integer number (1316140).

Almost surely, 213966940 is an apocalyptic number.

13966940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966940 is an abundant number, since it is smaller than the sum of its proper divisors (17620420).

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

13966940 is a wasteful number, since it uses less digits than its factorization.

13966940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53741 (or 53739 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 13966940 is about 3737.2369472646. The cubic root of 13966940 is about 240.8243642636.

Subtracting from 13966940 its reverse (4966931), we obtain a palindrome (9000009).

The spelling of 13966940 in words is "thirteen million, nine hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 53719 107438 214876 268595 537190 698347 1074380 1396694 2793388 3491735 6983470 13966940