Search a number
-
+
13294688 = 2511179211
BaseRepresentation
bin110010101101…
…110001100000
3221000102212212
4302231301200
511400412223
61152541252
7221001011
oct62556140
927012785
1013294688
117560550
124551828
1329a63a4
141aa1008
151279278
hexcadc60

13294688 has 48 divisors (see below), whose sum is σ = 28848960. Its totient is φ = 5980800.

The previous prime is 13294681. The next prime is 13294727. The reversal of 13294688 is 88649231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13294681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62903 + ... + 63113.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 213294688 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 13294688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14424480).

13294688 is an abundant number, since it is smaller than the sum of its proper divisors (15554272).

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

13294688 is a wasteful number, since it uses less digits than its factorization.

13294688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 403 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 13294688 is about 3646.1881465443. The cubic root of 13294688 is about 236.8969030598.

The spelling of 13294688 in words is "thirteen million, two hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 179 211 352 358 422 716 844 1432 1688 1969 2321 2864 3376 3938 4642 5728 6752 7876 9284 15752 18568 31504 37136 37769 63008 74272 75538 151076 302152 415459 604304 830918 1208608 1661836 3323672 6647344 13294688