Search a number
-
+
12137440 = 255710837
BaseRepresentation
bin101110010011…
…001111100000
3211211122102211
4232103033200
511101344230
61112051504
7205111060
oct56231740
924748384
1012137440
116940047
124093b94
13268c723
14187d3a0
1510eb42a
hexb933e0

12137440 has 48 divisors (see below), whose sum is σ = 32774112. Its totient is φ = 4161024.

The previous prime is 12137413. The next prime is 12137441. The reversal of 12137440 is 4473121.

12137440 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12137440 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4299 + ... + 6538.

It is an arithmetic number, because the mean of its divisors is an integer number (682794).

Almost surely, 212137440 is an apocalyptic number.

12137440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137440 is an abundant number, since it is smaller than the sum of its proper divisors (20636672).

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

12137440 is a wasteful number, since it uses less digits than its factorization.

12137440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10851 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12137440 is about 3483.8828912580. The cubic root of 12137440 is about 229.8135855623.

The spelling of 12137440 in words is "twelve million, one hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10837 21674 43348 54185 75859 86696 108370 151718 173392 216740 303436 346784 379295 433480 606872 758590 866960 1213744 1517180 1733920 2427488 3034360 6068720 12137440