Search a number
-
+
428302140 = 223572145681
BaseRepresentation
bin11001100001110…
…101111100111100
31002211221000002020
4121201311330330
51334121132030
6110300000140
713420336200
oct3141657474
91084830066
10428302140
111aa846812
12bb530050
136a970826
1440c50b00
1527904510
hex19875f3c

428302140 has 72 divisors (see below), whose sum is σ = 1395050832. Its totient is φ = 97896960.

The previous prime is 428302129. The next prime is 428302151. The reversal of 428302140 is 41203824.

It is an interprime number because it is at equal distance from previous prime (428302129) and next prime (428302151).

It is a self number, because there is not a number n which added to its sum of digits gives 428302140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69901 + ... + 75780.

It is an arithmetic number, because the mean of its divisors is an integer number (19375706).

Almost surely, 2428302140 is an apocalyptic number.

It is an amenable number.

428302140 is an abundant number, since it is smaller than the sum of its proper divisors (966748692).

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

428302140 is a wasteful number, since it uses less digits than its factorization.

428302140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145707 (or 145698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 428302140 is about 20695.4618213752. The cubic root of 428302140 is about 753.7894962651.

Adding to 428302140 its reverse (41203824), we get a palindrome (469505964).

The spelling of 428302140 in words is "four hundred twenty-eight million, three hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 145681 291362 437043 582724 728405 874086 1019767 1456810 1748172 2039534 2185215 2913620 3059301 4079068 4370430 5098835 6118602 7138369 8740860 10197670 12237204 14276738 15296505 20395340 21415107 28553476 30593010 35691845 42830214 61186020 71383690 85660428 107075535 142767380 214151070 428302140