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28124100 = 22325231249
BaseRepresentation
bin110101101001…
…0001111000100
31221220212000100
41223102033010
524144432400
62442444100
7461023314
oct153221704
957825010
1028124100
111496a064
129503630
135a991a4
143a41444
152708100
hex1ad23c4

28124100 has 54 divisors (see below), whose sum is σ = 88156250. Its totient is φ = 7499520.

The previous prime is 28124093. The next prime is 28124167. The reversal of 28124100 is 142182.

It can be written as a sum of positive squares in 3 ways, for example, as 2903616 + 25220484 = 1704^2 + 5022^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14725 + ... + 16524.

Almost surely, 228124100 is an apocalyptic number.

28124100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28124100 is an abundant number, since it is smaller than the sum of its proper divisors (60032150).

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

28124100 is a wasteful number, since it uses less digits than its factorization.

28124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31269 (or 31259 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 28124100 is about 5303.2160054065. The cubic root of 28124100 is about 304.1068559030.

Adding to 28124100 its reverse (142182), we get a palindrome (28266282).

It can be divided in two parts, 28124 and 100, that added together give a square (28224 = 1682).

The spelling of 28124100 in words is "twenty-eight million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 31249 62498 93747 124996 156245 187494 281241 312490 374988 468735 562482 624980 781225 937470 1124964 1406205 1562450 1874940 2343675 2812410 3124900 4687350 5624820 7031025 9374700 14062050 28124100