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13966320 = 243558193
BaseRepresentation
bin110101010001…
…101111110000
3222021120012010
4311101233300
512033410240
61215202520
7226466064
oct65215760
928246163
1013966320
11797a115
124816440
132b7ccc4
141bd7aa4
15135d280
hexd51bf0

13966320 has 40 divisors (see below), whose sum is σ = 43296336. Its totient is φ = 3724288.

The previous prime is 13966319. The next prime is 13966321. The reversal of 13966320 is 2366931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13966319) and next prime (13966321).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13966321) 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, 28857 + ... + 29336.

Almost surely, 213966320 is an apocalyptic number.

13966320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13966320 is an abundant number, since it is smaller than the sum of its proper divisors (29330016).

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

13966320 is a wasteful number, since it uses less digits than its factorization.

13966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58209 (or 58203 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 13966320 is about 3737.1539973622. The cubic root of 13966320 is about 240.8208007697.

The spelling of 13966320 in words is "thirteen million, nine hundred sixty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58193 116386 174579 232772 290965 349158 465544 581930 698316 872895 931088 1163860 1396632 1745790 2327720 2793264 3491580 4655440 6983160 13966320