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12401232 = 2432347239
BaseRepresentation
bin101111010011…
…101001010000
3212100001021220
4233103221100
511133314412
61121445040
7210260124
oct57235120
925301256
1012401232
117000258
1241a0780
13275280c
14190b584
15114e68c
hexbd3a50

12401232 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3853696.

The previous prime is 12401189. The next prime is 12401251. The reversal of 12401232 is 23210421.

12401232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51769 + ... + 52007.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 212401232 is an apocalyptic number.

12401232 is a gapful number since it is divisible by the number (12) 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 12401232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

12401232 is an abundant number, since it is smaller than the sum of its proper divisors (21882288).

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

12401232 is a wasteful number, since it uses less digits than its factorization.

12401232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12401232 is about 3521.5383002319. The cubic root of 12401232 is about 231.4665707195.

Adding to 12401232 its reverse (23210421), we get a palindrome (35611653).

The spelling of 12401232 in words is "twelve million, four hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 47 48 69 92 94 138 141 184 188 239 276 282 368 376 478 552 564 717 752 956 1081 1104 1128 1434 1912 2162 2256 2868 3243 3824 4324 5497 5736 6486 8648 10994 11233 11472 12972 16491 17296 21988 22466 25944 32982 33699 43976 44932 51888 65964 67398 87952 89864 131928 134796 179728 258359 263856 269592 516718 539184 775077 1033436 1550154 2066872 3100308 4133744 6200616 12401232