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13123660 = 2251131729
BaseRepresentation
bin110010000100…
…000001001100
3220200202021111
4302010001030
511324424120
61145141404
7216356254
oct62040114
926622244
1013123660
117454000
12448a864
1329465a4
141a58964
15124375a
hexc8404c

13123660 has 96 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 4336640.

The previous prime is 13123603. The next prime is 13123679. The reversal of 13123660 is 6632131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452526 + ... + 452554.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 213123660 is an apocalyptic number.

13123660 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 13123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13123660 is an abundant number, since it is smaller than the sum of its proper divisors (20079860).

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

13123660 is a wasteful number, since it uses less digits than its factorization.

13123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13123660 is about 3622.6592442569. The cubic root of 13123660 is about 235.8766711744.

Adding to 13123660 its reverse (6632131), we get a palindrome (19755791).

The spelling of 13123660 in words is "thirteen million, one hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 29 34 44 55 58 68 85 110 116 121 145 170 187 220 242 290 319 340 374 484 493 580 605 638 748 935 986 1210 1276 1331 1595 1870 1972 2057 2420 2465 2662 3190 3509 3740 4114 4930 5324 5423 6380 6655 7018 8228 9860 10285 10846 13310 14036 17545 20570 21692 22627 26620 27115 35090 38599 41140 45254 54230 59653 70180 77198 90508 108460 113135 119306 154396 192995 226270 238612 298265 385990 452540 596530 656183 771980 1193060 1312366 2624732 3280915 6561830 13123660