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13301520 = 2435192917
BaseRepresentation
bin110010101111…
…011100010000
3221000210020220
4302233130100
511401122040
61153033040
7221026641
oct62573420
927023226
1013301520
1175656a1
124555780
1329a952b
141aa36c8
15127b2d0
hexcaf710

13301520 has 80 divisors (see below), whose sum is σ = 43419840. Its totient is φ = 3359232.

The previous prime is 13301503. The next prime is 13301543. The reversal of 13301520 is 2510331.

It is a happy number.

13301520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13301520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3102 + ... + 6018.

It is an arithmetic number, because the mean of its divisors is an integer number (542748).

Almost surely, 213301520 is an apocalyptic number.

13301520 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 13301520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21709920).

13301520 is an abundant number, since it is smaller than the sum of its proper divisors (30118320).

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

13301520 is a wasteful number, since it uses less digits than its factorization.

13301520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13301520 is about 3647.1248950372. The cubic root of 13301520 is about 236.9374757176.

Adding to 13301520 its reverse (2510331), we get a palindrome (15811851).

It can be divided in two parts, 1330 and 1520, that added together give a triangular number (2850 = T75).

The spelling of 13301520 in words is "thirteen million, three hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2917 4560 5834 8751 11668 14585 17502 23336 29170 35004 43755 46672 55423 58340 70008 87510 110846 116680 140016 166269 175020 221692 233360 277115 332538 350040 443384 554230 665076 700080 831345 886768 1108460 1330152 1662690 2216920 2660304 3325380 4433840 6650760 13301520