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13102320 = 2435711709
BaseRepresentation
bin110001111110…
…110011110000
3220122200000010
4301332303300
511323233240
61144454520
7216240120
oct61766360
926580003
1013102320
117439a70
12447a440
13293996a
141a50c80
15123c280
hexc7ecf0

13102320 has 160 divisors (see below), whose sum is σ = 50711040. Its totient is φ = 2718720.

The previous prime is 13102303. The next prime is 13102333. The reversal of 13102320 is 2320131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13102296 and 13102305.

It is a congruent number.

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, 18126 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (316944).

Almost surely, 213102320 is an apocalyptic number.

13102320 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 13102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25355520).

13102320 is an abundant number, since it is smaller than the sum of its proper divisors (37608720).

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

13102320 is a wasteful number, since it uses less digits than its factorization.

13102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13102320 is about 3619.7126957813. The cubic root of 13102320 is about 235.7487510931.

Adding to 13102320 its reverse (2320131), we get a palindrome (15422451).

The spelling of 13102320 in words is "thirteen million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 709 770 840 880 924 1155 1232 1320 1418 1540 1680 1848 2127 2310 2640 2836 3080 3545 3696 4254 4620 4963 5672 6160 7090 7799 8508 9240 9926 10635 11344 14180 14889 15598 17016 18480 19852 21270 23397 24815 28360 29778 31196 34032 38995 39704 42540 46794 49630 54593 56720 59556 62392 74445 77990 79408 85080 93588 99260 109186 116985 119112 124784 148890 155980 163779 170160 187176 198520 218372 233970 238224 272965 297780 311960 327558 374352 397040 436744 467940 545930 595560 623920 655116 818895 873488 935880 1091860 1191120 1310232 1637790 1871760 2183720 2620464 3275580 4367440 6551160 13102320