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10136 = 237181
BaseRepresentation
bin10011110011000
3111220102
42132120
5311021
6114532
741360
oct23630
914812
1010136
117685
125a48
1347c9
1439a0
15300b
hex2798

10136 has 16 divisors (see below), whose sum is σ = 21840. Its totient is φ = 4320.

The previous prime is 10133. The next prime is 10139. The reversal of 10136 is 63101.

Adding to 10136 its reverse (63101), we get a palindrome (73237).

10136 = 352 + 362 + ... + 412.

10136 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 (10133) and next prime (10139).

It is the 16-th primeval number, because it sets a new record (41) in the number of distinct primes that is it possible to write using its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 146.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

210136 is an apocalyptic number.

It is an amenable number.

10136 is an abundant number, since it is smaller than the sum of its proper divisors (11704).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920).

10136 is a wasteful number, since it uses less digits than its factorization.

10136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10136 is about 100.6777035892. The cubic root of 10136 is about 21.6415751613.

The spelling of 10136 in words is "ten thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 56 181 362 724 1267 1448 2534 5068 10136