| Base | Representation |
|---|---|
| bin | 110101010011… |
| … | …111010100000 |
| 3 | 222022000101000 |
| 4 | 311103322200 |
| 5 | 12034201300 |
| 6 | 1215312000 |
| 7 | 226534011 |
| oct | 65237240 |
| 9 | 28260330 |
| 10 | 13975200 |
| 11 | 7985858 |
| 12 | 481b600 |
| 13 | 2b84065 |
| 14 | 1bdb008 |
| 15 | 1360c00 |
| hex | d53ea0 |
13975200 has 144 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 3720960.
The previous prime is 13975133. The next prime is 13975243. The reversal of 13975200 is 257931.
13975200 is a `hidden beast` number, since 139 + 7 + 520 + 0 = 666.
13975200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21277 + ... + 21923.
It is an arithmetic number, because the mean of its divisors is an integer number (351540).
Almost surely, 213975200 is an apocalyptic number.
13975200 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 13975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).
13975200 is an abundant number, since it is smaller than the sum of its proper divisors (36646560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13975200 is a wasteful number, since it uses less digits than its factorization.
13975200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 676 (or 657 counting only the distinct ones).
The product of its (nonzero) digits is 1890, while the sum is 27.
The square root of 13975200 is about 3738.3418784269. The cubic root of 13975200 is about 240.8718291399.
The spelling of 13975200 in words is "thirteen million, nine hundred seventy-five thousand, two hundred".
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