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814380 = 223572277
BaseRepresentation
bin11000110110100101100
31112101010020
43012310230
5202030010
625242140
76631200
oct3066454
91471106
10814380
11506946
12333350
132268a8
14172b00
15111470
hexc6d2c

814380 has 72 divisors (see below), whose sum is σ = 2662128. Its totient is φ = 185472.

The previous prime is 814379. The next prime is 814381. The reversal of 814380 is 83418.

814380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (814379) and next prime (814381).

It is a self number, because there is not a number n which added to its sum of digits gives 814380.

It is not an unprimeable number, because it can be changed into a prime (814381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2802 + ... + 3078.

It is an arithmetic number, because the mean of its divisors is an integer number (36974).

2814380 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 814380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331064).

814380 is an abundant number, since it is smaller than the sum of its proper divisors (1847748).

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

814380 is a wasteful number, since it uses less digits than its factorization.

814380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 814380 is about 902.4300526911. The cubic root of 814380 is about 93.3846939537.

Adding to 814380 its reverse (83418), we get a palindrome (897798).

The spelling of 814380 in words is "eight hundred fourteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 277 294 420 490 554 588 735 831 980 1108 1385 1470 1662 1939 2770 2940 3324 3878 4155 5540 5817 7756 8310 9695 11634 13573 16620 19390 23268 27146 29085 38780 40719 54292 58170 67865 81438 116340 135730 162876 203595 271460 407190 814380