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428260 = 225721923
BaseRepresentation
bin1101000100011100100
3210202110111
41220203210
5102201020
613102404
73432400
oct1504344
9722414
10428260
11272838
12187a04
1311cc11
14b2100
1586d5a
hex688e4

428260 has 72 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 133056.

The previous prime is 428251. The next prime is 428273. The reversal of 428260 is 62824.

428260 is nontrivially palindromic in base 13.

It is a nialpdrome in base 14.

It is a zygodrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18609 + ... + 18631.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2428260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

428260 is an abundant number, since it is smaller than the sum of its proper divisors (720860).

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

428260 is a wasteful number, since it uses less digits than its factorization.

428260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 428260 is about 654.4157699811. The cubic root of 428260 is about 75.3764774051.

The spelling of 428260 in words is "four hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 49 70 76 92 95 98 115 133 140 161 190 196 230 245 266 322 380 437 460 490 532 644 665 805 874 931 980 1127 1330 1610 1748 1862 2185 2254 2660 3059 3220 3724 4370 4508 4655 5635 6118 8740 9310 11270 12236 15295 18620 21413 22540 30590 42826 61180 85652 107065 214130 428260