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12531440 = 245312163
BaseRepresentation
bin101111110011…
…011011110000
3212120122220102
4233303123300
511202001230
61124331532
7211341545
oct57633360
925518812
1012531440
11708a069
124243ba8
132799b6c
141942bcc
151178045
hexbf36f0

12531440 has 60 divisors (see below), whose sum is σ = 30290472. Its totient is φ = 4821120.

The previous prime is 12531437. The next prime is 12531443. The reversal of 12531440 is 4413521.

It is an interprime number because it is at equal distance from previous prime (12531437) and next prime (12531443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12531443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76799 + ... + 76961.

Almost surely, 212531440 is an apocalyptic number.

12531440 is a gapful number since it is divisible by the number (10) 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 12531440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15145236).

12531440 is an abundant number, since it is smaller than the sum of its proper divisors (17759032).

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

12531440 is a wasteful number, since it uses less digits than its factorization.

12531440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12531440 is about 3539.9774010578. The cubic root of 12531440 is about 232.2738541801.

Adding to 12531440 its reverse (4413521), we get a palindrome (16944961).

The spelling of 12531440 in words is "twelve million, five hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 163 248 310 326 496 620 652 815 961 1240 1304 1630 1922 2480 2608 3260 3844 4805 5053 6520 7688 9610 10106 13040 15376 19220 20212 25265 38440 40424 50530 76880 80848 101060 156643 202120 313286 404240 626572 783215 1253144 1566430 2506288 3132860 6265720 12531440