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20262420 = 22335157239
BaseRepresentation
bin100110101001…
…0111000010100
31102010102211000
41031102320110
520141344140
62002143300
7334141053
oct115227024
942112730
1020262420
111048a502
126951b30
1342759c9
14299639a
151ba3a30
hex1352e14

20262420 has 96 divisors (see below), whose sum is σ = 63705600. Its totient is φ = 5346432.

The previous prime is 20262413. The next prime is 20262433. The reversal of 20262420 is 2426202.

It is a happy number.

20262420 is a `hidden beast` number, since 20 + 2 + 624 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20262393 and 20262402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84661 + ... + 84899.

It is an arithmetic number, because the mean of its divisors is an integer number (663600).

Almost surely, 220262420 is an apocalyptic number.

20262420 is a gapful number since it is divisible by the number (20) 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 20262420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31852800).

20262420 is an abundant number, since it is smaller than the sum of its proper divisors (43443180).

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

20262420 is a wasteful number, since it uses less digits than its factorization.

20262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20262420 is about 4501.3797884649. The cubic root of 20262420 is about 272.6238025675.

Adding to 20262420 its reverse (2426202), we get a palindrome (22688622).

The spelling of 20262420 in words is "twenty million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 239 270 314 471 478 540 628 717 785 942 956 1195 1413 1434 1570 1884 2151 2355 2390 2826 2868 3140 3585 4239 4302 4710 4780 5652 6453 7065 7170 8478 8604 9420 10755 12906 14130 14340 16956 21195 21510 25812 28260 32265 37523 42390 43020 64530 75046 84780 112569 129060 150092 187615 225138 337707 375230 450276 562845 675414 750460 1013121 1125690 1350828 1688535 2026242 2251380 3377070 4052484 5065605 6754140 10131210 20262420