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680081400 = 233352125941
BaseRepresentation
bin101000100010010…
…011011111111000
31202101200201022000
4220202103133320
52343100101100
6151252301000
722565411415
oct5042233770
91671621260
10680081400
11319985249
1216b911760
13aab8703b
146647110c
153ea8a900
hex288937f8

680081400 has 96 divisors (see below), whose sum is σ = 2342521200. Its totient is φ = 181353600.

The previous prime is 680081387. The next prime is 680081401. The reversal of 680081400 is 4180086.

680081400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680081401) 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, 57571 + ... + 68370.

Almost surely, 2680081400 is an apocalyptic number.

680081400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680081400 is an abundant number, since it is smaller than the sum of its proper divisors (1662439800).

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

680081400 is a wasteful number, since it uses less digits than its factorization.

680081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125966 (or 125951 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 680081400 is about 26078.3703478572. The cubic root of 680081400 is about 879.4010214567.

The spelling of 680081400 in words is "six hundred eighty million, eighty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 125941 251882 377823 503764 629705 755646 1007528 1133469 1259410 1511292 1889115 2266938 2518820 3022584 3148525 3400407 3778230 4533876 5037640 5667345 6297050 6800814 7556460 9067752 9445575 11334690 12594100 13601628 15112920 17002035 18891150 22669380 25188200 27203256 28336725 34004070 37782300 45338760 56673450 68008140 75564600 85010175 113346900 136016280 170020350 226693800 340040700 680081400