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13304760 = 2335747337
BaseRepresentation
bin110010110000…
…001110111000
3221000221200220
4302300032320
511401223020
61153100040
7221042250
oct62601670
927027626
1013304760
117568077
124557620
1329aab51
141aa4960
15127c240
hexcb03b8

13304760 has 128 divisors (see below), whose sum is σ = 46725120. Its totient is φ = 2967552.

The previous prime is 13304747. The next prime is 13304801. The reversal of 13304760 is 6740331.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13304760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39312 + ... + 39648.

It is an arithmetic number, because the mean of its divisors is an integer number (365040).

Almost surely, 213304760 is an apocalyptic number.

13304760 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 13304760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23362560).

13304760 is an abundant number, since it is smaller than the sum of its proper divisors (33420360).

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

13304760 is a wasteful number, since it uses less digits than its factorization.

13304760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13304760 is about 3647.5690534930. The cubic root of 13304760 is about 236.9567119928.

The spelling of 13304760 in words is "thirteen million, three hundred four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 337 376 420 470 564 658 674 705 840 940 987 1011 1128 1316 1348 1410 1645 1685 1880 1974 2022 2359 2632 2696 2820 3290 3370 3948 4044 4718 4935 5055 5640 6580 6740 7077 7896 8088 9436 9870 10110 11795 13160 13480 14154 15839 18872 19740 20220 23590 28308 31678 35385 39480 40440 47180 47517 56616 63356 70770 79195 94360 95034 110873 126712 141540 158390 190068 221746 237585 283080 316780 332619 380136 443492 475170 554365 633560 665238 886984 950340 1108730 1330476 1663095 1900680 2217460 2660952 3326190 4434920 6652380 13304760