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13950720 = 283257173
BaseRepresentation
bin110101001101…
…111100000000
3222020202210100
4311031330000
512032410340
61215002400
7226402440
oct65157400
928222710
1013950720
117969423
124809400
132b75b84
141bd2120
151358830
hexd4df00

13950720 has 216 divisors, whose sum is σ = 55482336. Its totient is φ = 3170304.

The previous prime is 13950709. The next prime is 13950733. The reversal of 13950720 is 2705931.

13950720 is a `hidden beast` number, since 139 + 507 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80554 + ... + 80726.

Almost surely, 213950720 is an apocalyptic number.

13950720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27741168).

13950720 is an abundant number, since it is smaller than the sum of its proper divisors (41531616).

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

13950720 is a wasteful number, since it uses less digits than its factorization.

13950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 13950720 is about 3735.0662644724. The cubic root of 13950720 is about 240.7311039345.

The spelling of 13950720 in words is "thirteen million, nine hundred fifty thousand, seven hundred twenty".