Search a number
-
+
28420340 = 22513281389
BaseRepresentation
bin110110001101…
…0100011110100
31222110220101012
41230122203310
524233422330
62453051352
7463366064
oct154324364
958426335
1028420340
1115051693
129626b58
135b70c90
143abb3a4
152765c95
hex1b1a8f4

28420340 has 48 divisors (see below), whose sum is σ = 64668240. Its totient is φ = 10429440.

The previous prime is 28420309. The next prime is 28420363. The reversal of 28420340 is 4302482.

It can be written as a sum of positive squares in 8 ways, for example, as 2735716 + 25684624 = 1654^2 + 5068^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72866 + ... + 73254.

It is an arithmetic number, because the mean of its divisors is an integer number (1347255).

Almost surely, 228420340 is an apocalyptic number.

28420340 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 28420340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32334120).

28420340 is an abundant number, since it is smaller than the sum of its proper divisors (36247900).

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

28420340 is a wasteful number, since it uses less digits than its factorization.

28420340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 28420340 is about 5331.0730627145. The cubic root of 28420340 is about 305.1708797889.

The spelling of 28420340 in words is "twenty-eight million, four hundred twenty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 281 389 562 778 1124 1405 1556 1945 2810 3653 3890 5057 5620 7306 7780 10114 14612 18265 20228 25285 36530 50570 73060 101140 109309 218618 437236 546545 1093090 1421017 2186180 2842034 5684068 7105085 14210170 28420340