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10013052 = 2237217029
BaseRepresentation
bin100110001100…
…100101111100
3200211201022210
4212030211330
510030404202
6554340420
7151052400
oct46144574
920751283
1010013052
115719a55
12342a710
1320c77aa
141489100
15d2bc6c
hex98c97c

10013052 has 36 divisors (see below), whose sum is σ = 27179880. Its totient is φ = 2860704.

The previous prime is 10013011. The next prime is 10013053. The reversal of 10013052 is 25031001.

10013052 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 a super-2 number, since 2×100130522 = 200522420709408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7927 + ... + 9102.

Almost surely, 210013052 is an apocalyptic number.

10013052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10013052 is an abundant number, since it is smaller than the sum of its proper divisors (17166828).

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

10013052 is a wasteful number, since it uses less digits than its factorization.

10013052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17050 (or 17041 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10013052 is about 3164.3406896224. The cubic root of 10013052 is about 215.5371605249.

Adding to 10013052 its reverse (25031001), we get a palindrome (35044053).

The spelling of 10013052 in words is "ten million, thirteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 17029 34058 51087 68116 102174 119203 204348 238406 357609 476812 715218 834421 1430436 1668842 2503263 3337684 5006526 10013052