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419412 = 22374993
BaseRepresentation
bin1100110011001010100
3210022022210
41212121110
5101410122
612553420
73364530
oct1463124
9708283
10419412
11267124
12182870
13118b96
14acbc0
158440c
hex66654

419412 has 24 divisors (see below), whose sum is σ = 1118656. Its totient is φ = 119808.

The previous prime is 419401. The next prime is 419417. The reversal of 419412 is 214914.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419417) by changing a digit.

419412 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2413 + ... + 2580.

2419412 is an apocalyptic number.

419412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

419412 is an abundant number, since it is smaller than the sum of its proper divisors (699244).

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

419412 is a wasteful number, since it uses less digits than its factorization.

419412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 5005 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 419412 is about 647.6202591025. The cubic root of 419412 is about 74.8537594792.

It can be divided in two parts, 41 and 9412, that added together give a triangular number (9453 = T137).

The spelling of 419412 in words is "four hundred nineteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 4993 9986 14979 19972 29958 34951 59916 69902 104853 139804 209706 419412