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13992966 = 2331331643
BaseRepresentation
bin110101011000…
…010000000110
3222022220202000
4311120100012
512040233331
61215530130
7226636551
oct65302006
928286660
1013992966
117998139
124829946
132b8c180
141c03698
1513660e6
hexd58406

13992966 has 64 divisors (see below), whose sum is σ = 34621440. Its totient is φ = 4160160.

The previous prime is 13992959. The next prime is 13992977. The reversal of 13992966 is 66929931.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21441 + ... + 22083.

It is an arithmetic number, because the mean of its divisors is an integer number (540960).

Almost surely, 213992966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13992966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310720).

13992966 is an abundant number, since it is smaller than the sum of its proper divisors (20628474).

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

13992966 is a wasteful number, since it uses less digits than its factorization.

13992966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 13992966 is about 3740.7173108911. The cubic root of 13992966 is about 240.9738555111.

The spelling of 13992966 in words is "thirteen million, nine hundred ninety-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 558 643 702 806 837 1209 1286 1674 1929 2418 3627 3858 5787 7254 8359 10881 11574 16718 17361 19933 21762 25077 34722 39866 50154 59799 75231 119598 150462 179397 225693 259129 358794 451386 518258 538191 777387 1076382 1554774 2332161 4664322 6996483 13992966