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13413660 = 22351329593
BaseRepresentation
bin110011001010…
…110100011100
3221020111002020
4303022310130
511413214120
61155300140
7222004611
oct63126434
927214066
1013413660
117631977
1245aa650
132a185a0
141ad2508
15129e640
hexccad1c

13413660 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 3182592.

The previous prime is 13413643. The next prime is 13413661. The reversal of 13413660 is 6631431.

13413660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13413660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22324 + ... + 22916.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 213413660 is an apocalyptic number.

13413660 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 13413660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

13413660 is an abundant number, since it is smaller than the sum of its proper divisors (28498980).

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

13413660 is a wasteful number, since it uses less digits than its factorization.

13413660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13413660 is about 3662.4663820983. The cubic root of 13413660 is about 237.6014561917.

The spelling of 13413660 in words is "thirteen million, four hundred thirteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 29 30 39 52 58 60 65 78 87 116 130 145 156 174 195 260 290 348 377 390 435 580 593 754 780 870 1131 1186 1508 1740 1779 1885 2262 2372 2965 3558 3770 4524 5655 5930 7116 7540 7709 8895 11310 11860 15418 17197 17790 22620 23127 30836 34394 35580 38545 46254 51591 68788 77090 85985 92508 103182 115635 154180 171970 206364 223561 231270 257955 343940 447122 462540 515910 670683 894244 1031820 1117805 1341366 2235610 2682732 3353415 4471220 6706830 13413660