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286104 = 233713131
BaseRepresentation
bin1000101110110011000
3112112110110
41011312120
533123404
610044320
72301060
oct1056630
9475413
10286104
11185a55
121196a0
13a02c0
14763a0
1559b89
hex45d98

286104 has 64 divisors (see below), whose sum is σ = 887040. Its totient is φ = 74880.

The previous prime is 286103. The next prime is 286129. The reversal of 286104 is 401682.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2286104 is an apocalyptic number.

286104 is a gapful number since it is divisible by the number (24) 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 286104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

286104 is an abundant number, since it is smaller than the sum of its proper divisors (600936).

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

286104 is a wasteful number, since it uses less digits than its factorization.

286104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 286104 is about 534.8869039339. The cubic root of 286104 is about 65.8933078772.

Adding to 286104 its reverse (401682), we get a palindrome (687786).

The spelling of 286104 in words is "two hundred eighty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 131 156 168 182 262 273 312 364 393 524 546 728 786 917 1048 1092 1572 1703 1834 2184 2751 3144 3406 3668 5109 5502 6812 7336 10218 11004 11921 13624 20436 22008 23842 35763 40872 47684 71526 95368 143052 286104