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10113520 = 245167757
BaseRepresentation
bin100110100101…
…000111110000
3201000211010211
4212211013300
510042113040
61000433504
7151651324
oct46450760
921024124
1010113520
11578848a
123478894
132131441
1414b3984
15d4b8ea
hex9a51f0

10113520 has 40 divisors (see below), whose sum is σ = 23685984. Its totient is φ = 4015872.

The previous prime is 10113503. The next prime is 10113541. The reversal of 10113520 is 2531101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101135203 (a number of 22 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10113520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12982 + ... + 13738.

Almost surely, 210113520 is an apocalyptic number.

10113520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842992).

10113520 is an abundant number, since it is smaller than the sum of its proper divisors (13572464).

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

10113520 is a wasteful number, since it uses less digits than its factorization.

10113520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10113520 is about 3180.1760957532. The cubic root of 10113520 is about 216.2556415381.

Adding to 10113520 its reverse (2531101), we get a palindrome (12644621).

The spelling of 10113520 in words is "ten million, one hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 757 835 1336 1514 1670 2672 3028 3340 3785 6056 6680 7570 12112 13360 15140 30280 60560 126419 252838 505676 632095 1011352 1264190 2022704 2528380 5056760 10113520