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13926096 = 243297997
BaseRepresentation
bin110101000111…
…111011010000
3222012112000100
4311013323100
512031113341
61214252400
7226240602
oct65077320
928175010
1013926096
117951978
1247b7100
132b678c2
141bc7172
1513513b6
hexd47ed0

13926096 has 60 divisors (see below), whose sum is σ = 39415012. Its totient is φ = 4589568.

The previous prime is 13926089. The next prime is 13926103. The reversal of 13926096 is 69062931.

It is an interprime number because it is at equal distance from previous prime (13926089) and next prime (13926103).

It can be written as a sum of positive squares in 2 ways, for example, as 9363600 + 4562496 = 3060^2 + 2136^2 .

It is a super-2 number, since 2×139260962 = 387872299602432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13926096.

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 11 ways as a sum of consecutive naturals, for example, 13470 + ... + 14466.

Almost surely, 213926096 is an apocalyptic number.

13926096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13926096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19707506).

13926096 is an abundant number, since it is smaller than the sum of its proper divisors (25488916).

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

13926096 is a wasteful number, since it uses less digits than its factorization.

13926096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 13926096 is about 3731.7684815647. The cubic root of 13926096 is about 240.5893847552.

The spelling of 13926096 in words is "thirteen million, nine hundred twenty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 997 1164 1552 1746 1994 2328 2991 3492 3988 4656 5982 6984 7976 8973 11964 13968 15952 17946 23928 35892 47856 71784 96709 143568 193418 290127 386836 580254 773672 870381 1160508 1547344 1740762 2321016 3481524 4642032 6963048 13926096