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12427860 = 2235434817
BaseRepresentation
bin101111011010…
…001001010100
3212101101211010
4233122021110
511140142420
61122212220
7210430554
oct57321124
925341733
1012427860
117019265
1241b4070
132761983
141917164
1511574e0
hexbda254

12427860 has 48 divisors (see below), whose sum is σ = 35614656. Its totient is φ = 3236352.

The previous prime is 12427859. The next prime is 12427861. The reversal of 12427860 is 6872421.

12427860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12427859) and next prime (12427861).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12427861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (741972).

Almost surely, 212427860 is an apocalyptic number.

12427860 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 12427860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17807328).

12427860 is an abundant number, since it is smaller than the sum of its proper divisors (23186796).

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

12427860 is a wasteful number, since it uses less digits than its factorization.

12427860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4870 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12427860 is about 3525.3170070222. The cubic root of 12427860 is about 231.6321210904.

The spelling of 12427860 in words is "twelve million, four hundred twenty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 4817 9634 14451 19268 24085 28902 48170 57804 72255 96340 144510 207131 289020 414262 621393 828524 1035655 1242786 2071310 2485572 3106965 4142620 6213930 12427860