Search a number
-
+
682407680 = 285659809
BaseRepresentation
bin101000101011001…
…011011100000000
31202120001220100112
4220223023130000
52344144021210
6151414210452
722624240523
oct5053133400
91676056315
10682407680
11320223a99
12170653a28
13ab4bcb36
14668b8bba
153ed99d05
hex28acb700

682407680 has 72 divisors (see below), whose sum is σ = 1639083600. Its totient is φ = 272211968.

The previous prime is 682407653. The next prime is 682407683. The reversal of 682407680 is 86704286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682407683) 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, 843116 + ... + 843924.

It is an arithmetic number, because the mean of its divisors is an integer number (22765050).

Almost surely, 2682407680 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 682407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819541800).

682407680 is an abundant number, since it is smaller than the sum of its proper divisors (956675920).

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

682407680 is an equidigital number, since it uses as much as digits as its factorization.

682407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 682407680 is about 26122.9339852935. The cubic root of 682407680 is about 880.4025706302.

The spelling of 682407680 in words is "six hundred eighty-two million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 659 809 1280 1318 1618 2636 3236 3295 4045 5272 6472 6590 8090 10544 12944 13180 16180 21088 25888 26360 32360 42176 51776 52720 64720 84352 103552 105440 129440 168704 207104 210880 258880 421760 517760 533131 843520 1035520 1066262 2132524 2665655 4265048 5331310 8530096 10662620 17060192 21325240 34120384 42650480 68240768 85300960 136481536 170601920 341203840 682407680