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10059036 = 22313173793
BaseRepresentation
bin100110010111…
…110100011100
3200221001101220
4212113310130
510033342121
6555333340
7151333431
oct46276434
920831356
1010059036
115750559
123451250
1321126c0
14149bb88
15d3a6c6
hex997d1c

10059036 has 48 divisors (see below), whose sum is σ = 26770464. Its totient is φ = 2912256.

The previous prime is 10059031. The next prime is 10059041. The reversal of 10059036 is 63095001.

It is an interprime number because it is at equal distance from previous prime (10059031) and next prime (10059041).

It is a junction number, because it is equal to n+sod(n) for n = 10058997 and 10059015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (557718).

Almost surely, 210059036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10059036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385232).

10059036 is an abundant number, since it is smaller than the sum of its proper divisors (16711428).

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

10059036 is a wasteful number, since it uses less digits than its factorization.

10059036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 10059036 is about 3171.5983352247. The cubic root of 10059036 is about 215.8666014453.

The spelling of 10059036 in words is "ten million, fifty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 3793 7586 11379 15172 22758 45516 49309 64481 98618 128962 147927 193443 197236 257924 295854 386886 591708 773772 838253 1676506 2514759 3353012 5029518 10059036