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10513460 = 2251973379
BaseRepresentation
bin101000000110…
…110000110100
3201210010202102
4220012300310
510142412320
61013201232
7155235326
oct50066064
921703672
1010513460
115a30a11
123630218
1322414a9
141579616
15dca175
hexa06c34

10513460 has 48 divisors (see below), whose sum is σ = 23620800. Its totient is φ = 3919104.

The previous prime is 10513453. The next prime is 10513469. The reversal of 10513460 is 6431501.

It is a super-2 number, since 2×105134602 = 221065682343200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27551 + ... + 27929.

It is an arithmetic number, because the mean of its divisors is an integer number (492100).

Almost surely, 210513460 is an apocalyptic number.

10513460 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 10513460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810400).

10513460 is an abundant number, since it is smaller than the sum of its proper divisors (13107340).

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

10513460 is a wasteful number, since it uses less digits than its factorization.

10513460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 478 counting only the distinct ones).

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

The square root of 10513460 is about 3242.4466071163. The cubic root of 10513460 is about 219.0694858148.

Adding to 10513460 its reverse (6431501), we get a palindrome (16944961).

The spelling of 10513460 in words is "ten million, five hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 379 380 730 758 1387 1460 1516 1895 2774 3790 5548 6935 7201 7580 13870 14402 27667 27740 28804 36005 55334 72010 110668 138335 144020 276670 525673 553340 1051346 2102692 2628365 5256730 10513460