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13047720 = 233573317
BaseRepresentation
bin110001110001…
…011110101000
3220112220002220
4301301132220
511320011340
61143354040
7215622000
oct61613650
926486086
1013047720
117401a44
124452920
13291ab5a
141a39000
15122aed0
hexc717a8

13047720 has 128 divisors (see below), whose sum is σ = 45792000. Its totient is φ = 2972928.

The previous prime is 13047707. The next prime is 13047751. The reversal of 13047720 is 2774031.

13047720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41002 + ... + 41318.

It is an arithmetic number, because the mean of its divisors is an integer number (357750).

Almost surely, 213047720 is an apocalyptic number.

13047720 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 13047720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22896000).

13047720 is an abundant number, since it is smaller than the sum of its proper divisors (32744280).

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

13047720 is a wasteful number, since it uses less digits than its factorization.

13047720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 13047720 is about 3612.1627870294. The cubic root of 13047720 is about 235.4208243538.

Subtracting from 13047720 its product of nonzero digits (1176), we obtain a square (13046544 = 36122).

The spelling of 13047720 in words is "thirteen million, forty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 317 343 392 420 490 588 634 686 735 840 951 980 1029 1176 1268 1372 1470 1585 1715 1902 1960 2058 2219 2536 2744 2940 3170 3430 3804 4116 4438 4755 5145 5880 6340 6657 6860 7608 8232 8876 9510 10290 11095 12680 13314 13720 15533 17752 19020 20580 22190 26628 31066 33285 38040 41160 44380 46599 53256 62132 66570 77665 88760 93198 108731 124264 133140 155330 186396 217462 232995 266280 310660 326193 372792 434924 465990 543655 621320 652386 869848 931980 1087310 1304772 1630965 1863960 2174620 2609544 3261930 4349240 6523860 13047720