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13665942 = 233972609
BaseRepresentation
bin110100001000…
…011010010110
3221201022011000
4310020122112
511444302232
61204524130
7224105253
oct64103226
927638130
1013665942
117794474
1246b0646
132aa6374
141b5a42a
1512ee27c
hexd08696

13665942 has 32 divisors (see below), whose sum is σ = 30693600. Its totient is φ = 4506624.

The previous prime is 13665929. The next prime is 13665961. The reversal of 13665942 is 24956631.

It is a happy number.

13665942 is a `hidden beast` number, since 1 + 3 + 66 + 594 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13665897 and 13665906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934 + ... + 6542.

It is an arithmetic number, because the mean of its divisors is an integer number (959175).

Almost surely, 213665942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13665942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346800).

13665942 is an abundant number, since it is smaller than the sum of its proper divisors (17027658).

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

13665942 is a wasteful number, since it uses less digits than its factorization.

13665942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2711 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 13665942 is about 3696.7474893479. The cubic root of 13665942 is about 239.0818041313.

The spelling of 13665942 in words is "thirteen million, six hundred sixty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2609 2619 5218 5238 7827 15654 23481 46962 70443 140886 253073 506146 759219 1518438 2277657 4555314 6832971 13665942