Search a number
-
+
13923612 = 22321722751
BaseRepresentation
bin110101000111…
…010100011100
3222012101121100
4311013110130
512031023422
61214233100
7226230423
oct65072434
928171540
1013923612
11795001a
1247b5790
132b66731
141bc62ba
1513507ac
hexd4751c

13923612 has 36 divisors (see below), whose sum is σ = 37267776. Its totient is φ = 4368000.

The previous prime is 13923607. The next prime is 13923617. The reversal of 13923612 is 21632931.

13923612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13923607) and next prime (13923617).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×139236122 = 387733942253088, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13923617) 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, 10764 + ... + 11987.

It is an arithmetic number, because the mean of its divisors is an integer number (1035216).

Almost surely, 213923612 is an apocalyptic number.

13923612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13923612 is an abundant number, since it is smaller than the sum of its proper divisors (23344164).

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

13923612 is a wasteful number, since it uses less digits than its factorization.

13923612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22778 (or 22773 counting only the distinct ones).

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

The square root of 13923612 is about 3731.4356486478. The cubic root of 13923612 is about 240.5750792488.

It can be divided in two parts, 13923 and 612, that added together give a triangular number (14535 = T170).

The spelling of 13923612 in words is "thirteen million, nine hundred twenty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 22751 45502 68253 91004 136506 204759 273012 386767 409518 773534 819036 1160301 1547068 2320602 3480903 4641204 6961806 13923612