Search a number
-
+
13755924 = 223271321719
BaseRepresentation
bin110100011110…
…011000010100
3221212212120200
4310132120110
512010142144
61210500500
7224631510
oct64363024
927785520
1013755924
117846036
124734730
132b08300
141b81140
15131ac69
hexd1e614

13755924 has 216 divisors, whose sum is σ = 47960640. Its totient is φ = 3234816.

The previous prime is 13755923. The next prime is 13755967. The reversal of 13755924 is 42955731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13755923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 723987 + ... + 724005.

It is an arithmetic number, because the mean of its divisors is an integer number (222040).

Almost surely, 213755924 is an apocalyptic number.

13755924 is a gapful number since it is divisible by the number (14) 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 13755924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23980320).

13755924 is an abundant number, since it is smaller than the sum of its proper divisors (34204716).

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

13755924 is a wasteful number, since it uses less digits than its factorization.

13755924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 13755924 is about 3708.8979495262. The cubic root of 13755924 is about 239.6053932118.

The spelling of 13755924 in words is "thirteen million, seven hundred fifty-five thousand, nine hundred twenty-four".