Search a number
-
+
283696 = 24717149
BaseRepresentation
bin1000101010000110000
3112102011021
41011100300
533034241
610025224
72261050
oct1052060
9472137
10283696
11184166
12118214
139c18a
1475560
15590d1
hex45430

283696 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 113664.

The previous prime is 283687. The next prime is 283697. The reversal of 283696 is 696382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283697) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1830 + ... + 1978.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2283696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

283696 is an abundant number, since it is smaller than the sum of its proper divisors (385904).

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

283696 is a wasteful number, since it uses less digits than its factorization.

283696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 283696 is about 532.6312044933. The cubic root of 283696 is about 65.7079226893.

Subtracting 283696 from its reverse (696382), we obtain a triangular number (412686 = T908).

It can be divided in two parts, 283 and 696, that added together give a palindrome (979).

The spelling of 283696 in words is "two hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 149 238 272 298 476 596 952 1043 1192 1904 2086 2384 2533 4172 5066 8344 10132 16688 17731 20264 35462 40528 70924 141848 283696