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12420378 = 234431783
BaseRepresentation
bin101111011000…
…010100011010
3212101000120000
4233120110122
511134423003
61122113430
7210400005
oct57302432
925330500
1012420378
117013683
1241ab876
13275b449
14191453c
1511551a3
hexbd851a

12420378 has 40 divisors (see below), whose sum is σ = 28494048. Its totient is φ = 4041576.

The previous prime is 12420371. The next prime is 12420379. The reversal of 12420378 is 87302421.

12420378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12420371) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6075 + ... + 7857.

Almost surely, 212420378 is an apocalyptic number.

12420378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12420378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14247024).

12420378 is an abundant number, since it is smaller than the sum of its proper divisors (16073670).

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

12420378 is a wasteful number, since it uses less digits than its factorization.

12420378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12420378 is about 3524.2556660946. The cubic root of 12420378 is about 231.5856282526.

Adding to 12420378 its reverse (87302421), we get a palindrome (99722799).

It can be divided in two parts, 124 and 20378, that added together give a palindrome (20502).

The spelling of 12420378 in words is "twelve million, four hundred twenty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 1783 2322 3483 3566 5349 6966 10698 16047 32094 48141 76669 96282 144423 153338 230007 288846 460014 690021 1380042 2070063 4140126 6210189 12420378