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10628332 = 221113171093
BaseRepresentation
bin101000100010…
…110011101100
3201222222022221
4220202303230
510210101312
61015445124
7156224251
oct50426354
921888287
1010628332
115aaa250
1236867a4
132281870
1415a9428
15dee207
hexa22cec

10628332 has 48 divisors (see below), whose sum is σ = 23157792. Its totient is φ = 4193280.

The previous prime is 10628329. The next prime is 10628333. The reversal of 10628332 is 23382601.

It is a super-2 number, since 2×106283322 = 225922882204448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10628297 and 10628306.

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

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 15 ways as a sum of consecutive naturals, for example, 9178 + ... + 10270.

It is an arithmetic number, because the mean of its divisors is an integer number (482454).

Almost surely, 210628332 is an apocalyptic number.

It is an amenable number.

10628332 is an abundant number, since it is smaller than the sum of its proper divisors (12529460).

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

10628332 is a wasteful number, since it uses less digits than its factorization.

10628332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 10628332 is about 3260.1122680055. The cubic root of 10628332 is about 219.8644619692.

It can be divided in two parts, 10628 and 332, that multiplied together give a triangular number (3528496 = T2656).

The spelling of 10628332 in words is "ten million, six hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 748 884 1093 2186 2431 4372 4862 9724 12023 14209 18581 24046 28418 37162 48092 56836 74324 156299 204391 241553 312598 408782 483106 625196 817564 966212 2657083 5314166 10628332