Search a number
-
+
6123924 = 223441461
BaseRepresentation
bin10111010111000110010100
3102112010110000
4113113012110
53031431144
6335131300
7103024002
oct27270624
912463400
106123924
113502aa4
122073b30
131365531
14b55a72
1580e769
hex5d7194

6123924 has 60 divisors (see below), whose sum is σ = 16435188. Its totient is φ = 1987200.

The previous prime is 6123917. The next prime is 6123937. The reversal of 6123924 is 4293216.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 5143824 = 990^2 + 2268^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13054 + ... + 13514.

Almost surely, 26123924 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 6123924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8217594).

6123924 is an abundant number, since it is smaller than the sum of its proper divisors (10311264).

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

6123924 is a wasteful number, since it uses less digits than its factorization.

6123924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 6123924 is about 2474.6563397773. The cubic root of 6123924 is about 182.9545708249.

The spelling of 6123924 in words is "six million, one hundred twenty-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 461 492 738 922 1107 1383 1476 1844 2214 2766 3321 4149 4428 5532 6642 8298 12447 13284 16596 18901 24894 37341 37802 49788 56703 74682 75604 113406 149364 170109 226812 340218 510327 680436 1020654 1530981 2041308 3061962 6123924