Search a number
-
+
536004 = 22337709
BaseRepresentation
bin10000010110111000100
31000020021000
42002313010
5114123004
615253300
74361460
oct2026704
91006230
10536004
11336787
1221a230
13159c81
14dd4a0
15a8c39
hex82dc4

536004 has 48 divisors (see below), whose sum is σ = 1590400. Its totient is φ = 152928.

The previous prime is 535999. The next prime is 536017. The reversal of 536004 is 400635.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 1110.

2536004 is an apocalyptic number.

536004 is a gapful number since it is divisible by the number (54) 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 536004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795200).

536004 is an abundant number, since it is smaller than the sum of its proper divisors (1054396).

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

536004 is a wasteful number, since it uses less digits than its factorization.

536004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 536004 is about 732.1229404957. The cubic root of 536004 is about 81.2311640755.

Adding to 536004 its reverse (400635), we get a palindrome (936639).

The spelling of 536004 in words is "five hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 709 756 1418 2127 2836 4254 4963 6381 8508 9926 12762 14889 19143 19852 25524 29778 38286 44667 59556 76572 89334 134001 178668 268002 536004