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13479642 = 2331122063
BaseRepresentation
bin110011011010…
…111011011010
3221100211121000
4303122323122
511422322032
61200525430
7222401151
oct63327332
927324530
1013479642
117677500
124620876
132a3c627
141b0c598
1512b3e7c
hexcdaeda

13479642 has 48 divisors (see below), whose sum is σ = 32941440. Its totient is φ = 4082760.

The previous prime is 13479601. The next prime is 13479643. The reversal of 13479642 is 24697431.

13479642 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 9 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13479597 and 13479606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13479643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5503 + ... + 7565.

It is an arithmetic number, because the mean of its divisors is an integer number (686280).

Almost surely, 213479642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13479642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16470720).

13479642 is an abundant number, since it is smaller than the sum of its proper divisors (19461798).

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

13479642 is a wasteful number, since it uses less digits than its factorization.

13479642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2079 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 13479642 is about 3671.4631960569. The cubic root of 13479642 is about 237.9904075413.

The spelling of 13479642 in words is "thirteen million, four hundred seventy-nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2063 2178 3267 4126 6189 6534 12378 18567 22693 37134 45386 55701 68079 111402 136158 204237 249623 408474 499246 612711 748869 1225422 1497738 2246607 4493214 6739821 13479642