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13397160 = 2335741389
BaseRepresentation
bin110011000110…
…110010101000
3221012122110010
4303012302220
511412202120
61155051520
7221605530
oct63066250
927178403
1013397160
117620537
1245a0ba0
132a10c1a
141aca4c0
1512997e0
hexcc6ca8

13397160 has 128 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 2979840.

The previous prime is 13397143. The next prime is 13397161. The reversal of 13397160 is 6179331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13397161) by changing a digit.

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, 34246 + ... + 34634.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 213397160 is an apocalyptic number.

13397160 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 13397160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

13397160 is an abundant number, since it is smaller than the sum of its proper divisors (33777240).

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

13397160 is a wasteful number, since it uses less digits than its factorization.

13397160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 13397160 is about 3660.2131085498. The cubic root of 13397160 is about 237.5039925460.

The spelling of 13397160 in words is "thirteen million, three hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 389 410 420 492 574 615 778 820 840 861 984 1148 1167 1230 1435 1556 1640 1722 1945 2296 2334 2460 2723 2870 3112 3444 3890 4305 4668 4920 5446 5740 5835 6888 7780 8169 8610 9336 10892 11480 11670 13615 15560 15949 16338 17220 21784 23340 27230 31898 32676 34440 40845 46680 47847 54460 63796 65352 79745 81690 95694 108920 111643 127592 159490 163380 191388 223286 239235 318980 326760 334929 382776 446572 478470 558215 637960 669858 893144 956940 1116430 1339716 1674645 1913880 2232860 2679432 3349290 4465720 6698580 13397160