Search a number
-
+
13924120 = 23572232
BaseRepresentation
bin110101000111…
…011100011000
3222012102022011
4311013130120
512031032440
61214235304
7226232050
oct65073430
928172264
1013924120
117950441
1247b5b34
132b66a32
141bc6560
1513509ea
hexd47718

13924120 has 48 divisors (see below), whose sum is σ = 35966160. Its totient is φ = 4752576.

The previous prime is 13924117. The next prime is 13924123. The reversal of 13924120 is 2142931.

13924120 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 (13924117) and next prime (13924123).

It is a super-2 number, since 2×139241202 = 387762235548800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13924091 and 13924100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13924123) 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, 62329 + ... + 62551.

It is an arithmetic number, because the mean of its divisors is an integer number (749295).

Almost surely, 213924120 is an apocalyptic number.

13924120 is a gapful number since it is divisible by the number (10) 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 13924120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983080).

13924120 is an abundant number, since it is smaller than the sum of its proper divisors (22042040).

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

13924120 is an equidigital number, since it uses as much as digits as its factorization.

13924120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13924120 is about 3731.5037183420. The cubic root of 13924120 is about 240.5780049899.

The spelling of 13924120 in words is "thirteen million, nine hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 223 280 446 892 1115 1561 1784 2230 3122 4460 6244 7805 8920 12488 15610 31220 49729 62440 99458 198916 248645 348103 397832 497290 696206 994580 1392412 1740515 1989160 2784824 3481030 6962060 13924120