Search a number
-
+
28560780 = 223251011571
BaseRepresentation
bin110110011110…
…0110110001100
31222202001000200
41230330312030
524302421110
62500053500
7464522403
oct154746614
958661020
1028560780
1115138156
129694290
135bbcb91
143b1663a
1527926c0
hex1b3cd8c

28560780 has 72 divisors (see below), whose sum is σ = 87547824. Its totient is φ = 7536000.

The previous prime is 28560773. The next prime is 28560797. The reversal of 28560780 is 8706582.

28560780 is a `hidden beast` number, since 28 + 560 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17395 + ... + 18965.

It is an arithmetic number, because the mean of its divisors is an integer number (1215942).

Almost surely, 228560780 is an apocalyptic number.

28560780 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 28560780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43773912).

28560780 is an abundant number, since it is smaller than the sum of its proper divisors (58987044).

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

28560780 is a wasteful number, since it uses less digits than its factorization.

28560780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28560780 is about 5344.2286627726. The cubic root of 28560780 is about 305.6727245532.

The spelling of 28560780 in words is "twenty-eight million, five hundred sixty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1571 1818 2020 3030 3142 3636 4545 4713 6060 6284 7855 9090 9426 14139 15710 18180 18852 23565 28278 31420 47130 56556 70695 94260 141390 158671 282780 317342 476013 634684 793355 952026 1428039 1586710 1904052 2380065 2856078 3173420 4760130 5712156 7140195 9520260 14280390 28560780