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13047320 = 23511132281
BaseRepresentation
bin110001110001…
…011000011000
3220112212120002
4301301120120
511320003240
61143352132
7215620556
oct61613030
926485502
1013047320
117401710
124452648
13291a910
141a38bd6
15122ad15
hexc71618

13047320 has 64 divisors (see below), whose sum is σ = 34503840. Its totient is φ = 4377600.

The previous prime is 13047299. The next prime is 13047329. The reversal of 13047320 is 2374031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13047292 and 13047301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047329) 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, 4580 + ... + 6860.

Almost surely, 213047320 is an apocalyptic number.

13047320 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 13047320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17251920).

13047320 is an abundant number, since it is smaller than the sum of its proper divisors (21456520).

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

13047320 is a wasteful number, since it uses less digits than its factorization.

13047320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 13047320 is about 3612.1074181148. The cubic root of 13047320 is about 235.4184185876.

Subtracting from 13047320 its reverse (2374031), we obtain a square (10673289 = 32672).

The spelling of 13047320 in words is "thirteen million, forty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2281 2860 4562 5720 9124 11405 18248 22810 25091 29653 45620 50182 59306 91240 100364 118612 125455 148265 200728 237224 250910 296530 326183 501820 593060 652366 1003640 1186120 1304732 1630915 2609464 3261830 6523660 13047320