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10628331 = 371015011
BaseRepresentation
bin101000100010…
…110011101011
3201222222022220
4220202303223
510210101311
61015445123
7156224250
oct50426353
921888286
1010628331
115aaa24a
1236867a3
13228186c
1415a9427
15dee206
hexa22ceb

10628331 has 16 divisors (see below), whose sum is σ = 16359168. Its totient is φ = 6012000.

The previous prime is 10628329. The next prime is 10628333. The reversal of 10628331 is 13382601.

10628331 is digitally balanced in base 2, because in such base 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 (10628329) and next prime (10628333).

It is not a de Polignac number, because 10628331 - 21 = 10628329 is a prime.

It is a super-2 number, since 2×106283312 = 225922839691122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10628333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (1022448).

Almost surely, 210628331 is an apocalyptic number.

10628331 is a deficient number, since it is larger than the sum of its proper divisors (5730837).

10628331 is a wasteful number, since it uses less digits than its factorization.

10628331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10628331 is about 3260.1121146366. The cubic root of 10628331 is about 219.8644550736.

Adding to 10628331 its sum of digits (24), we get a triangular number (10628355 = T4610).

The spelling of 10628331 in words is "ten million, six hundred twenty-eight thousand, three hundred thirty-one".

Divisors: 1 3 7 21 101 303 707 2121 5011 15033 35077 105231 506111 1518333 3542777 10628331