Search a number
-
+
814240 = 2557727
BaseRepresentation
bin11000110110010100000
31112100221001
43012302200
5202023430
625241344
76630610
oct3066240
91470831
10814240
11506829
12333254
132267cb
14172a40
151113ca
hexc6ca0

814240 has 48 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 278784.

The previous prime is 814237. The next prime is 814241. The reversal of 814240 is 42418.

It is not an unprimeable number, because it can be changed into a prime (814241) 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, 757 + ... + 1483.

It is an arithmetic number, because the mean of its divisors is an integer number (45864).

2814240 is an apocalyptic number.

814240 is a gapful number since it is divisible by the number (80) 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 814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

814240 is an abundant number, since it is smaller than the sum of its proper divisors (1387232).

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

814240 is a wasteful number, since it uses less digits than its factorization.

814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 814240 is about 902.3524810184. The cubic root of 814240 is about 93.3793423953.

Adding to 814240 its reverse (42418), we get a palindrome (856658).

The spelling of 814240 in words is "eight hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 727 1120 1454 2908 3635 5089 5816 7270 10178 11632 14540 20356 23264 25445 29080 40712 50890 58160 81424 101780 116320 162848 203560 407120 814240