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12426820 = 2257372399
BaseRepresentation
bin101111011001…
…111001000100
3212101100101121
4233121321010
511140124240
61122203324
7210424540
oct57317104
925340347
1012426820
1170184aa
1241b3544
132761363
141916a20
15115704a
hexbd9e44

12426820 has 48 divisors (see below), whose sum is σ = 30643200. Its totient is φ = 4143744.

The previous prime is 12426811. The next prime is 12426829. The reversal of 12426820 is 2862421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12426811) and next prime (12426829).

It is not an unprimeable number, because it can be changed into a prime (12426829) 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, 3981 + ... + 6379.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 212426820 is an apocalyptic number.

12426820 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 12426820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321600).

12426820 is an abundant number, since it is smaller than the sum of its proper divisors (18216380).

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

12426820 is a wasteful number, since it uses less digits than its factorization.

12426820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 12426820 is about 3525.1694994709. The cubic root of 12426820 is about 231.6256596903.

The spelling of 12426820 in words is "twelve million, four hundred twenty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2399 2590 4798 5180 9596 11995 16793 23990 33586 47980 67172 83965 88763 167930 177526 335860 355052 443815 621341 887630 1242682 1775260 2485364 3106705 6213410 12426820