Search a number
-
+
12498768 = 2432294173
BaseRepresentation
bin101111101011…
…011101010000
3212112000002100
4233223131100
511144430033
61123520400
7211144362
oct57533520
925460070
1012498768
117067567
124229100
132788029
141934d32
15116d513
hexbeb750

12498768 has 120 divisors (see below), whose sum is σ = 37575720. Its totient is φ = 3870720.

The previous prime is 12498763. The next prime is 12498793. The reversal of 12498768 is 86789421.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 12194064 = 552^2 + 3492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12498763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171180 + ... + 171252.

It is an arithmetic number, because the mean of its divisors is an integer number (313131).

Almost surely, 212498768 is an apocalyptic number.

12498768 is a gapful number since it is divisible by the number (18) 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 12498768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787860).

12498768 is an abundant number, since it is smaller than the sum of its proper divisors (25076952).

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

12498768 is a wasteful number, since it uses less digits than its factorization.

12498768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 12498768 is about 3535.3596705286. The cubic root of 12498768 is about 232.0718168469.

The spelling of 12498768 in words is "twelve million, four hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 73 82 87 116 123 144 146 164 174 219 232 246 261 292 328 348 369 438 464 492 522 584 656 657 696 738 876 984 1044 1168 1189 1314 1392 1476 1752 1968 2088 2117 2378 2628 2952 2993 3504 3567 4176 4234 4756 5256 5904 5986 6351 7134 8468 8979 9512 10512 10701 11972 12702 14268 16936 17958 19024 19053 21402 23944 25404 26937 28536 33872 35916 38106 42804 47888 50808 53874 57072 71832 76212 85608 86797 101616 107748 143664 152424 171216 173594 215496 260391 304848 347188 430992 520782 694376 781173 1041564 1388752 1562346 2083128 3124692 4166256 6249384 12498768