Search a number
-
+
679840 = 2557607
BaseRepresentation
bin10100101111110100000
31021112120021
42211332200
5133223330
622323224
75531020
oct2457640
91245507
10679840
11424857
12289514
131aa595
14139a80
15d667a
hexa5fa0

679840 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 232704.

The previous prime is 679837. The next prime is 679843. The reversal of 679840 is 48976.

679840 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 (679837) and next prime (679843).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 679796 and 679805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679843) 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, 817 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2679840 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 679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

679840 is an abundant number, since it is smaller than the sum of its proper divisors (1158752).

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

679840 is a wasteful number, since it uses less digits than its factorization.

679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 679840 is about 824.5241051661. The cubic root of 679840 is about 87.9296959144.

The spelling of 679840 in words is "six hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 607 1120 1214 2428 3035 4249 4856 6070 8498 9712 12140 16996 19424 21245 24280 33992 42490 48560 67984 84980 97120 135968 169960 339920 679840