Search a number
-
+
28257060 = 223513172131
BaseRepresentation
bin110101111001…
…0101100100100
31222011121101210
41223302230210
524213211220
62445351420
7462116046
oct153625444
958147353
1028257060
1114a4aa47
129568570
135b14870
143a77a96
1527326e0
hex1af2b24

28257060 has 96 divisors (see below), whose sum is σ = 90260352. Its totient is φ = 6543360.

The previous prime is 28257037. The next prime is 28257067. The reversal of 28257060 is 6075282.

It is a super-2 number, since 2×282570602 = 1596922879687200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (28257067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12195 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (940212).

Almost surely, 228257060 is an apocalyptic number.

28257060 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 28257060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45130176).

28257060 is an abundant number, since it is smaller than the sum of its proper divisors (62003292).

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

28257060 is a wasteful number, since it uses less digits than its factorization.

28257060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 28257060 is about 5315.7370138110. The cubic root of 28257060 is about 304.5853363460.

The spelling of 28257060 in words is "twenty-eight million, two hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2131 2210 2652 3315 4262 4420 6393 6630 8524 10655 12786 13260 21310 25572 27703 31965 36227 42620 55406 63930 72454 83109 108681 110812 127860 138515 144908 166218 181135 217362 277030 332436 362270 415545 434724 470951 543405 554060 724540 831090 941902 1086810 1412853 1662180 1883804 2173620 2354755 2825706 4709510 5651412 7064265 9419020 14128530 28257060