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682680432 = 24376733019
BaseRepresentation
bin101000101100001…
…110000001110000
31202120120202111110
4220230032001300
52344231233212
6151424113320
722626454650
oct5054160160
91676522443
10682680432
1132039aa05
12170765840
13ab587025
146694a360
153ee00a3c
hex28b0e070

682680432 has 80 divisors (see below), whose sum is σ = 2019196160. Its totient is φ = 194697216.

The previous prime is 682680379. The next prime is 682680433. The reversal of 682680432 is 234086286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682680433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224619 + ... + 227637.

It is an arithmetic number, because the mean of its divisors is an integer number (25239952).

Almost surely, 2682680432 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 682680432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009598080).

682680432 is an abundant number, since it is smaller than the sum of its proper divisors (1336515728).

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

682680432 is a wasteful number, since it uses less digits than its factorization.

682680432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 682680432 is about 26128.1540105688. The cubic root of 682680432 is about 880.5198512448.

The spelling of 682680432 in words is "six hundred eighty-two million, six hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 673 1346 2019 2692 3019 4038 4711 5384 6038 8076 9057 9422 10768 12076 14133 16152 18114 18844 21133 24152 28266 32304 36228 37688 42266 48304 56532 63399 72456 75376 84532 113064 126798 144912 169064 226128 253596 338128 507192 1014384 2031787 4063574 6095361 8127148 12190722 14222509 16254296 24381444 28445018 32508592 42667527 48762888 56890036 85335054 97525776 113780072 170670108 227560144 341340216 682680432