Search a number
-
+
536800 = 25521161
BaseRepresentation
bin10000011000011100000
31000021100111
42003003200
5114134200
615301104
74364005
oct2030340
91007314
10536800
11337340
1221a794
1315a444
14dd8ac
15a90ba
hex830e0

536800 has 72 divisors (see below), whose sum is σ = 1453032. Its totient is φ = 192000.

The previous prime is 536791. The next prime is 536801. The reversal of 536800 is 8635.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8770 + ... + 8830.

It is an arithmetic number, because the mean of its divisors is an integer number (20181).

2536800 is an apocalyptic number.

536800 is a gapful number since it is divisible by the number (50) 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 536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726516).

536800 is an abundant number, since it is smaller than the sum of its proper divisors (916232).

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

536800 is a wasteful number, since it uses less digits than its factorization.

536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 536800 is about 732.6663633606. Note that the first 3 decimals coincide. The cubic root of 536800 is about 81.2713553333.

The spelling of 536800 in words is "five hundred thirty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 80 88 100 110 122 160 176 200 220 244 275 305 352 400 440 488 550 610 671 800 880 976 1100 1220 1342 1525 1760 1952 2200 2440 2684 3050 3355 4400 4880 5368 6100 6710 8800 9760 10736 12200 13420 16775 21472 24400 26840 33550 48800 53680 67100 107360 134200 268400 536800