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13923738 = 234611409
BaseRepresentation
bin110101000111…
…010110011010
3222012101210000
4311013112122
512031024423
61214233430
7226230663
oct65072632
928171700
1013923738
117950124
1247b5876
132b667ca
141bc636a
151350843
hexd4759a

13923738 has 40 divisors (see below), whose sum is σ = 31733460. Its totient is φ = 4561920.

The previous prime is 13923737. The next prime is 13923757. The reversal of 13923738 is 83732931.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8982009 + 4941729 = 2997^2 + 2223^2 .

It is not an unprimeable number, because it can be changed into a prime (13923737) 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 19 ways as a sum of consecutive naturals, for example, 9178 + ... + 10586.

Almost surely, 213923738 is an apocalyptic number.

13923738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13923738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866730).

13923738 is an abundant number, since it is smaller than the sum of its proper divisors (17809722).

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

13923738 is a wasteful number, since it uses less digits than its factorization.

13923738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13923738 is about 3731.4525321917. The cubic root of 13923738 is about 240.5758049314.

The spelling of 13923738 in words is "thirteen million, nine hundred twenty-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1409 1647 2818 3294 4227 4941 8454 9882 12681 25362 38043 76086 85949 114129 171898 228258 257847 515694 773541 1547082 2320623 4641246 6961869 13923738