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680920500 = 223531334919
BaseRepresentation
bin101000100101100…
…000010110110100
31202110021100022210
4220211200112310
52343303424000
6151322253420
722605504651
oct5045402664
91673240283
10680920500
1131a3a8717
12170057270
13ab0bbc50
146660cc28
153eba4350
hex289605b4

680920500 has 96 divisors (see below), whose sum is σ = 2135427840. Its totient is φ = 167606400.

The previous prime is 680920477. The next prime is 680920517. The reversal of 680920500 is 5029086.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2041 + ... + 36959.

It is an arithmetic number, because the mean of its divisors is an integer number (22244040).

Almost surely, 2680920500 is an apocalyptic number.

680920500 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680920500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067713920).

680920500 is an abundant number, since it is smaller than the sum of its proper divisors (1454507340).

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

680920500 is a wasteful number, since it uses less digits than its factorization.

680920500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34954 (or 34942 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 680920500 is about 26094.4534336322. The cubic root of 680920500 is about 879.7625478482.

Adding to 680920500 its reverse (5029086), we get a palindrome (685949586).

The spelling of 680920500 in words is "six hundred eighty million, nine hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 125 130 150 156 195 250 260 300 325 375 390 500 650 750 780 975 1300 1500 1625 1950 3250 3900 4875 6500 9750 19500 34919 69838 104757 139676 174595 209514 349190 419028 453947 523785 698380 872975 907894 1047570 1361841 1745950 1815788 2095140 2269735 2618925 2723682 3491900 4364875 4539470 5237850 5447364 6809205 8729750 9078940 10475700 11348675 13094625 13618410 17459500 22697350 26189250 27236820 34046025 45394700 52378500 56743375 68092050 113486750 136184100 170230125 226973500 340460250 680920500