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13442616 = 23321121543
BaseRepresentation
bin110011010001…
…111000111000
3221021221210200
4303101320320
511420130431
61200042200
7222155205
oct63217070
927257720
1013442616
117651700
124603360
132a28815
141adccac
1512a7ee6
hexcd1e38

13442616 has 72 divisors (see below), whose sum is σ = 40043640. Its totient is φ = 4070880.

The previous prime is 13442591. The next prime is 13442621. The reversal of 13442616 is 61624431.

13442616 is a `hidden beast` number, since 1 + 3 + 4 + 42 + 616 = 666.

13442616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13442616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7941 + ... + 9483.

Almost surely, 213442616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20021820).

13442616 is an abundant number, since it is smaller than the sum of its proper divisors (26601024).

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

13442616 is a wasteful number, since it uses less digits than its factorization.

13442616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1559 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13442616 is about 3666.4173248554. The cubic root of 13442616 is about 237.7723030025.

The spelling of 13442616 in words is "thirteen million, four hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 1543 2178 2904 3086 4356 4629 6172 8712 9258 12344 13887 16973 18516 27774 33946 37032 50919 55548 67892 101838 111096 135784 152757 186703 203676 305514 373406 407352 560109 611028 746812 1120218 1222056 1493624 1680327 2240436 3360654 4480872 6721308 13442616