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13293966 = 2371743433
BaseRepresentation
bin110010101101…
…100110001110
3221000101220010
4302231212032
511400401331
61152534050
7220665630
oct62554616
927011803
1013293966
11755aa54
124551326
1329a5c6a
141aa0a50
151278e46
hexcad98e

13293966 has 64 divisors (see below), whose sum is σ = 32997888. Its totient is φ = 3483648.

The previous prime is 13293893. The next prime is 13293971. The reversal of 13293966 is 66939231.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30486 + ... + 30918.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 213293966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13293966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

13293966 is an abundant number, since it is smaller than the sum of its proper divisors (19703922).

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

13293966 is a wasteful number, since it uses less digits than its factorization.

13293966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its digits is 52488, while the sum is 39.

The square root of 13293966 is about 3646.0891376926. The cubic root of 13293966 is about 236.8926145635.

The spelling of 13293966 in words is "thirteen million, two hundred ninety-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 43 51 86 102 119 129 238 258 301 357 433 602 714 731 866 903 1299 1462 1806 2193 2598 3031 4386 5117 6062 7361 9093 10234 14722 15351 18186 18619 22083 30702 37238 44166 51527 55857 103054 111714 130333 154581 260666 309162 316523 390999 633046 781998 949569 1899138 2215661 4431322 6646983 13293966