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12316840 = 2351759307
BaseRepresentation
bin101110111111…
…000010101000
3212011202112021
4232333002220
511123114330
61115554224
7206456104
oct56770250
925152467
1012316840
116a52908
12415b974
132723293
1418c8904
15113467a
hexbbf0a8

12316840 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 4543488.

The previous prime is 12316831. The next prime is 12316847. The reversal of 12316840 is 4861321.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12316847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39967 + ... + 40273.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 212316840 is an apocalyptic number.

12316840 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 12316840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

12316840 is an abundant number, since it is smaller than the sum of its proper divisors (17620760).

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

12316840 is a wasteful number, since it uses less digits than its factorization.

12316840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 12316840 is about 3509.5355818114. The cubic root of 12316840 is about 230.9403217837.

The spelling of 12316840 in words is "twelve million, three hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 307 340 472 590 614 680 1003 1180 1228 1535 2006 2360 2456 3070 4012 5015 5219 6140 8024 10030 10438 12280 18113 20060 20876 26095 36226 40120 41752 52190 72452 90565 104380 144904 181130 208760 307921 362260 615842 724520 1231684 1539605 2463368 3079210 6158420 12316840