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13293996 = 22319199293
BaseRepresentation
bin110010101101…
…100110101100
3221000101221020
4302231212230
511400401441
61152534140
7220666002
oct62554654
927011836
1013293996
11755aa81
124551350
1329a5c91
141aa0a72
151278e66
hexcad9ac

13293996 has 48 divisors (see below), whose sum is σ = 32928000. Its totient is φ = 4162752.

The previous prime is 13293991. The next prime is 13294003. The reversal of 13293996 is 69939231.

13293996 = 1532 + 1542 + ... + 3512.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13293991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45226 + ... + 45518.

It is an arithmetic number, because the mean of its divisors is an integer number (686000).

Almost surely, 213293996 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 13293996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464000).

13293996 is an abundant number, since it is smaller than the sum of its proper divisors (19634004).

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

13293996 is a wasteful number, since it uses less digits than its factorization.

13293996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 516 counting only the distinct ones).

The product of its digits is 78732, while the sum is 42.

The square root of 13293996 is about 3646.0932516873. The cubic root of 13293996 is about 236.8927927589.

The spelling of 13293996 in words is "thirteen million, two hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 199 228 293 398 586 597 796 879 1172 1194 1758 2388 3516 3781 5567 7562 11134 11343 15124 16701 22268 22686 33402 45372 58307 66804 116614 174921 233228 349842 699684 1107833 2215666 3323499 4431332 6646998 13293996