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12641232 = 2431983167
BaseRepresentation
bin110000001110…
…001111010000
3212210020111210
4300032033100
511214004412
61130540120
7212306622
oct60161720
925706453
1012641232
1171545aa
124297640
132807b26
141970c12
15119a83c
hexc0e3d0

12641232 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3920256.

The previous prime is 12641203. The next prime is 12641249. The reversal of 12641232 is 23214621.

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

It is a junction number, because it is equal to n+sod(n) for n = 12641199 and 12641208.

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, 75613 + ... + 75779.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 212641232 is an apocalyptic number.

12641232 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 12641232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12641232 is an abundant number, since it is smaller than the sum of its proper divisors (22356528).

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

12641232 is a wasteful number, since it uses less digits than its factorization.

12641232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 12641232 is about 3555.4510262413. The cubic root of 12641232 is about 232.9502248356.

Adding to 12641232 its reverse (23214621), we get a palindrome (35855853).

The spelling of 12641232 in words is "twelve million, six hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 167 228 249 304 332 334 456 498 501 664 668 912 996 1002 1328 1336 1577 1992 2004 2672 3154 3173 3984 4008 4731 6308 6346 8016 9462 9519 12616 12692 13861 18924 19038 25232 25384 27722 37848 38076 41583 50768 55444 75696 76152 83166 110888 152304 166332 221776 263359 332664 526718 665328 790077 1053436 1580154 2106872 3160308 4213744 6320616 12641232