Search a number
-
+
28420420 = 2257434721
BaseRepresentation
bin110110001101…
…0100101000100
31222110220111011
41230122211010
524233423140
62453052004
7463366240
oct154324504
958426434
1028420420
1115051756
129627004
135b71022
143abb420
152765cea
hex1b1a944

28420420 has 48 divisors (see below), whose sum is σ = 69810048. Its totient is φ = 9515520.

The previous prime is 28420411. The next prime is 28420429. The reversal of 28420420 is 2402482.

It is an interprime number because it is at equal distance from previous prime (28420411) and next prime (28420429).

It is a junction number, because it is equal to n+sod(n) for n = 28420391 and 28420400.

It is not an unprimeable number, because it can be changed into a prime (28420429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3660 + ... + 8380.

It is an arithmetic number, because the mean of its divisors is an integer number (1454376).

Almost surely, 228420420 is an apocalyptic number.

28420420 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 28420420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34905024).

28420420 is an abundant number, since it is smaller than the sum of its proper divisors (41389628).

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

28420420 is a wasteful number, since it uses less digits than its factorization.

28420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4778 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 28420420 is about 5331.0805658891. The cubic root of 28420420 is about 305.1711661290.

The spelling of 28420420 in words is "twenty-eight million, four hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 4721 6020 9442 18884 23605 33047 47210 66094 94420 132188 165235 203003 330470 406006 660940 812012 1015015 1421021 2030030 2842042 4060060 5684084 7105105 14210210 28420420