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288860 = 2251113101
BaseRepresentation
bin1000110100001011100
3112200020112
41012201130
533220420
610105152
72312105
oct1064134
9480215
10288860
11188030
1211b1b8
13a1630
14773ac
155a8c5
hex4685c

288860 has 48 divisors (see below), whose sum is σ = 719712. Its totient is φ = 96000.

The previous prime is 288853. The next prime is 288877. The reversal of 288860 is 68882.

288860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

288860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810 + ... + 2910.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2288860 is an apocalyptic number.

288860 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 288860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856).

288860 is an abundant number, since it is smaller than the sum of its proper divisors (430852).

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

288860 is a wasteful number, since it uses less digits than its factorization.

288860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 288860 is about 537.4569750222. The cubic root of 288860 is about 66.1042124687.

It can be divided in two parts, 28 and 8860, that added together give a palindrome (8888).

The spelling of 288860 in words is "two hundred eighty-eight thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 57772 72215 144430 288860