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680000280 = 233543131783
BaseRepresentation
bin101000100001111…
…111101100011000
31202101112121000120
4220201333230120
52343040002110
6151250433240
722564623051
oct5041775430
91671477016
10680000280
1131992a303
1216b892820
13aab5913b
146644d728
153ea71870
hex2887fb18

680000280 has 64 divisors (see below), whose sum is σ = 2087458560. Its totient is φ = 177115008.

The previous prime is 680000273. The next prime is 680000281. The reversal of 680000280 is 82000086.

680000280 is digitally balanced in base 2 and base 6, because in such bases 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 680000280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680000281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60732 + ... + 71051.

It is an arithmetic number, because the mean of its divisors is an integer number (32616540).

Almost surely, 2680000280 is an apocalyptic number.

680000280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680000280 is an abundant number, since it is smaller than the sum of its proper divisors (1407458280).

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

680000280 is a wasteful number, since it uses less digits than its factorization.

680000280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131840 (or 131836 counting only the distinct ones).

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

The square root of 680000280 is about 26076.8149895650. The cubic root of 680000280 is about 879.3660551289.

The spelling of 680000280 in words is "six hundred eighty million, two hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 131783 263566 395349 527132 658915 790698 1054264 1317830 1581396 1976745 2635660 3162792 3953490 5271320 5666669 7906980 11333338 15813960 17000007 22666676 28333345 34000014 45333352 56666690 68000028 85000035 113333380 136000056 170000070 226666760 340000140 680000280