Base | Representation |
---|---|
bin | 100111111101… |
… | …011010000000 |
3 | 201201012012000 |
4 | 213331122000 |
5 | 10140201021 |
6 | 1012304000 |
7 | 155015520 |
oct | 47753200 |
9 | 21635160 |
10 | 10475136 |
11 | 5a05141 |
12 | 3612000 |
13 | 2229c09 |
14 | 1569680 |
15 | dbdb26 |
hex | 9fd680 |
10475136 has 128 divisors (see below), whose sum is σ = 35414400. Its totient is φ = 2985984.
The previous prime is 10475123. The next prime is 10475149. The reversal of 10475136 is 63157401.
10475136 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 an interprime number because it is at equal distance from previous prime (10475123) and next prime (10475149).
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23976 + ... + 24408.
It is an arithmetic number, because the mean of its divisors is an integer number (276675).
Almost surely, 210475136 is an apocalyptic number.
10475136 is a gapful number since it is divisible by the number (16) 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 10475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707200).
10475136 is an abundant number, since it is smaller than the sum of its proper divisors (24939264).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10475136 is an equidigital number, since it uses as much as digits as its factorization.
10475136 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 463 (or 445 counting only the distinct ones).
The product of its (nonzero) digits is 2520, while the sum is 27.
The square root of 10475136 is about 3236.5314767510. The cubic root of 10475136 is about 218.8029753602.
The spelling of 10475136 in words is "ten million, four hundred seventy-five thousand, one hundred thirty-six".
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