Search a number
-
+
536340 = 223571277
BaseRepresentation
bin10000010111100010100
31000020201110
42002330110
5114130330
615255020
74362450
oct2027424
91006643
10536340
11336a62
1221a470
1315a17c
14dd660
15a8db0
hex82f14

536340 has 48 divisors (see below), whose sum is σ = 1717632. Its totient is φ = 122496.

The previous prime is 536323. The next prime is 536353. The reversal of 536340 is 43635.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

536340 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, 219 + ... + 1058.

It is an arithmetic number, because the mean of its divisors is an integer number (35784).

2536340 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 536340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858816).

536340 is an abundant number, since it is smaller than the sum of its proper divisors (1181292).

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

536340 is a wasteful number, since it uses less digits than its factorization.

536340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 536340 is about 732.3523742025. The cubic root of 536340 is about 81.2481340794.

Adding to 536340 its reverse (43635), we get a palindrome (579975).

The spelling of 536340 in words is "five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1277 2554 3831 5108 6385 7662 8939 12770 15324 17878 19155 25540 26817 35756 38310 44695 53634 76620 89390 107268 134085 178780 268170 536340