Search a number
-
+
13923756 = 22327115023
BaseRepresentation
bin110101000111…
…010110101100
3222012101210200
4311013112230
512031030011
61214233500
7226231020
oct65072654
928171720
1013923756
117950140
1247b5890
132b66812
141bc6380
151350856
hexd475ac

13923756 has 72 divisors (see below), whose sum is σ = 43889664. Its totient is φ = 3615840.

The previous prime is 13923737. The next prime is 13923757. The reversal of 13923756 is 65732931.

It is a super-2 number, since 2×139237562 = 387741962295072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13923756.

It is not an unprimeable number, because it can be changed into a prime (13923757) 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 23 ways as a sum of consecutive naturals, for example, 261 + ... + 5283.

Almost surely, 213923756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13923756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21944832).

13923756 is an abundant number, since it is smaller than the sum of its proper divisors (29965908).

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

13923756 is a wasteful number, since it uses less digits than its factorization.

13923756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5046 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13923756 is about 3731.4549441203. The cubic root of 13923756 is about 240.5759086000.

The spelling of 13923756 in words is "thirteen million, nine hundred twenty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 5023 10046 15069 20092 30138 35161 45207 55253 60276 70322 90414 105483 110506 140644 165759 180828 210966 221012 316449 331518 386771 421932 497277 632898 663036 773542 994554 1160313 1265796 1547084 1989108 2320626 3480939 4641252 6961878 13923756