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10513640 = 235673923
BaseRepresentation
bin101000000110…
…110011101000
3201210011000002
4220012303220
510142414030
61013202132
7155236004
oct50066350
921704002
1010513640
115a31065
123630348
1322415b7
141579704
15dca245
hexa06ce8

10513640 has 32 divisors (see below), whose sum is σ = 24014880. Its totient is φ = 4141632.

The previous prime is 10513639. The next prime is 10513649. The reversal of 10513640 is 4631501.

It is a super-2 number, since 2×105136402 = 221073252099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10513649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 719 + ... + 4641.

It is an arithmetic number, because the mean of its divisors is an integer number (750465).

Almost surely, 210513640 is an apocalyptic number.

10513640 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 10513640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12007440).

10513640 is an abundant number, since it is smaller than the sum of its proper divisors (13501240).

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

10513640 is a wasteful number, since it uses less digits than its factorization.

10513640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3997 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10513640 is about 3242.4743638154. The cubic root of 10513640 is about 219.0707360306.

The spelling of 10513640 in words is "ten million, five hundred thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1340 2680 3923 7846 15692 19615 31384 39230 78460 156920 262841 525682 1051364 1314205 2102728 2628410 5256820 10513640