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13616540 = 2257195119
BaseRepresentation
bin110011111100…
…010110011100
3221121210101022
4303330112130
511441212130
61203503312
7223511240
oct63742634
927553338
1013616540
117760343
124687b38
132a89a32
141b46420
1512de7e5
hexcfc59c

13616540 has 48 divisors (see below), whose sum is σ = 34406400. Its totient is φ = 4421952.

The previous prime is 13616539. The next prime is 13616543. The reversal of 13616540 is 4561631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13616543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (716800).

Almost surely, 213616540 is an apocalyptic number.

13616540 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 13616540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17203200).

13616540 is an abundant number, since it is smaller than the sum of its proper divisors (20789860).

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

13616540 is a wasteful number, since it uses less digits than its factorization.

13616540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 5152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13616540 is about 3690.0596201146. The cubic root of 13616540 is about 238.7933649289.

The spelling of 13616540 in words is "thirteen million, six hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 5119 10238 20476 25595 35833 51190 71666 97261 102380 143332 179165 194522 358330 389044 486305 680827 716660 972610 1361654 1945220 2723308 3404135 6808270 13616540