Search a number
-
+
6131904 = 263109293
BaseRepresentation
bin10111011001000011000000
3102112112101120
4113121003000
53032210104
6335232240
7103056162
oct27310300
912475346
106131904
113508a99
122078680
13136905c
14b58932
15811cd9
hex5d90c0

6131904 has 56 divisors (see below), whose sum is σ = 16428720. Its totient is φ = 2018304.

The previous prime is 6131891. The next prime is 6131911. The reversal of 6131904 is 4091316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20782 + ... + 21074.

It is an arithmetic number, because the mean of its divisors is an integer number (293370).

Almost surely, 26131904 is an apocalyptic number.

6131904 is a gapful number since it is divisible by the number (64) 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 6131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214360).

6131904 is an abundant number, since it is smaller than the sum of its proper divisors (10296816).

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

6131904 is a wasteful number, since it uses less digits than its factorization.

6131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 6131904 is about 2476.2681599536. The cubic root of 6131904 is about 183.0340048487.

The spelling of 6131904 in words is "six million, one hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 293 327 436 586 654 872 879 1172 1308 1744 1758 2344 2616 3488 3516 4688 5232 6976 7032 9376 10464 14064 18752 20928 28128 31937 56256 63874 95811 127748 191622 255496 383244 510992 766488 1021984 1532976 2043968 3065952 6131904