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12423840 = 25351113181
BaseRepresentation
bin101111011001…
…001010100000
3212101012022020
4233121022200
511140030330
61122141440
7210413052
oct57311240
925335266
1012423840
117016240
1241b1880
13275cbb0
1419158d2
151156210
hexbd92a0

12423840 has 192 divisors, whose sum is σ = 46230912. Its totient is φ = 2764800.

The previous prime is 12423833. The next prime is 12423847. The reversal of 12423840 is 4832421.

It is an interprime number because it is at equal distance from previous prime (12423833) and next prime (12423847).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12423840.

It is not an unprimeable number, because it can be changed into a prime (12423847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68550 + ... + 68730.

It is an arithmetic number, because the mean of its divisors is an integer number (240786).

Almost surely, 212423840 is an apocalyptic number.

12423840 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 12423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456).

12423840 is an abundant number, since it is smaller than the sum of its proper divisors (33807072).

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

12423840 is a wasteful number, since it uses less digits than its factorization.

12423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 12423840 is about 3524.7467994169. The cubic root of 12423840 is about 231.6071432973.

The spelling of 12423840 in words is "twelve million, four hundred twenty-three thousand, eight hundred forty".