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10536825 = 35213101107
BaseRepresentation
bin101000001100…
…011101111001
3201211022210210
4220030131321
510144134300
61013501333
7155363415
oct50143571
921738723
1010536825
115a47522
123641849
13224c010
141583d45
15dd2050
hexa0c779

10536825 has 48 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 5088000.

The previous prime is 10536817. The next prime is 10536847. The reversal of 10536825 is 52863501.

10536825 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 not a de Polignac number, because 10536825 - 23 = 10536817 is a prime.

It is a super-2 number, since 2×105368252 = 222049362161250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10536792 and 10536801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98422 + ... + 98528.

It is an arithmetic number, because the mean of its divisors is an integer number (398412).

Almost surely, 210536825 is an apocalyptic number.

10536825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10536825 is a deficient number, since it is larger than the sum of its proper divisors (8586951).

10536825 is a wasteful number, since it uses less digits than its factorization.

10536825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 10536825 is about 3246.0475966936. The cubic root of 10536825 is about 219.2316516289.

The spelling of 10536825 in words is "ten million, five hundred thirty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 101 107 195 303 321 325 505 535 975 1313 1391 1515 1605 2525 2675 3939 4173 6565 6955 7575 8025 10807 19695 20865 32421 32825 34775 54035 98475 104325 140491 162105 270175 421473 702455 810525 2107365 3512275 10536825