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13926312 = 23321271523
BaseRepresentation
bin110101000111…
…111110101000
3222012112022100
4311013332220
512031120222
61214253400
7226241331
oct65077650
928175270
1013926312
117952054
1247b7260
132b67a2a
141bc7288
1513514ac
hexd47fa8

13926312 has 48 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 4602528.

The previous prime is 13926299. The next prime is 13926313. The reversal of 13926312 is 21362931.

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

It is not an unprimeable number, because it can be changed into a prime (13926313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8383 + ... + 9905.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 213926312 is an apocalyptic number.

13926312 is a gapful number since it is divisible by the number (12) 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 13926312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

13926312 is an abundant number, since it is smaller than the sum of its proper divisors (24112728).

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

13926312 is a wasteful number, since it uses less digits than its factorization.

13926312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1655 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13926312 is about 3731.7974221546. The cubic root of 13926312 is about 240.5906286319.

The spelling of 13926312 in words is "thirteen million, nine hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1523 1524 2286 3046 3048 4569 4572 6092 9138 9144 12184 13707 18276 27414 36552 54828 109656 193421 386842 580263 773684 1160526 1547368 1740789 2321052 3481578 4642104 6963156 13926312