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10286136 = 233376803
BaseRepresentation
bin100111001111…
…010000111000
3201100120221000
4213033100320
510113124021
61004245000
7153300510
oct47172070
921316830
1010286136
115896143
123540760
132191b93
14151a840
15d82b26
hex9cf438

10286136 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 2938464.

The previous prime is 10286131. The next prime is 10286147. The reversal of 10286136 is 63168201.

10286136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10286131) 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, 1890 + ... + 4913.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 210286136 is an apocalyptic number.

It is an amenable number.

10286136 is an abundant number, since it is smaller than the sum of its proper divisors (22373064).

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

10286136 is a wasteful number, since it uses less digits than its factorization.

10286136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10286136 is about 3207.2006485407. The cubic root of 10286136 is about 217.4790467330.

It can be divided in two parts, 10 and 286136, that added together give a triangular number (286146 = T756).

The spelling of 10286136 in words is "ten million, two hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 6803 13606 20409 27212 40818 47621 54424 61227 81636 95242 122454 142863 163272 183681 190484 244908 285726 367362 380968 428589 489816 571452 734724 857178 1142904 1285767 1469448 1714356 2571534 3428712 5143068 10286136