Search a number
-
+
806932 = 227223179
BaseRepresentation
bin11000101000000010100
31111222220101
43011000110
5201310212
625143444
76600400
oct3050024
91458811
10806932
11501295
1232ab84
13223399
14170100
1510e157
hexc5014

806932 has 36 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 328944.

The previous prime is 806929. The next prime is 806941. The reversal of 806932 is 239608.

It is a super-2 number, since 2×8069322 = 1302278505248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 83 + 0 + 9 + 67 + 37 + 219 .

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 806932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4419 + ... + 4597.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2806932 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 806932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

806932 is an abundant number, since it is smaller than the sum of its proper divisors (916748).

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

806932 is a wasteful number, since it uses less digits than its factorization.

806932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 806932 is about 898.2939385301. The cubic root of 806932 is about 93.0991350476.

The spelling of 806932 in words is "eight hundred six thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 179 196 322 358 644 716 1127 1253 2254 2506 4117 4508 5012 8234 8771 16468 17542 28819 35084 57638 115276 201733 403466 806932