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426120 = 23355367
BaseRepresentation
bin1101000000010001000
3210122112020
41220002020
5102113440
613044440
73423222
oct1500210
9718466
10426120
11271172
12186720
1311bc56
14b1412
15863d0
hex68088

426120 has 64 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 109824.

The previous prime is 426103. The next prime is 426131. The reversal of 426120 is 21624.

426120 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 426120.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6327 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2426120 is an apocalyptic number.

426120 is a gapful number since it is divisible by the number (40) 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 426120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

426120 is an abundant number, since it is smaller than the sum of its proper divisors (895800).

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

426120 is a wasteful number, since it uses less digits than its factorization.

426120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 426120 is about 652.7786761223. The cubic root of 426120 is about 75.2507165048.

Adding to 426120 its reverse (21624), we get a palindrome (447744).

Subtracting from 426120 its reverse (21624), we obtain a square (404496 = 6362).

The spelling of 426120 in words is "four hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 67 106 120 134 159 201 212 265 268 318 335 402 424 530 536 636 670 795 804 1005 1060 1272 1340 1590 1608 2010 2120 2680 3180 3551 4020 6360 7102 8040 10653 14204 17755 21306 28408 35510 42612 53265 71020 85224 106530 142040 213060 426120