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2680731300 = 22352136431069
BaseRepresentation
bin1001111111001000…
…1011011010100100
320220211021021000110
42133302023122210
520442231400200
61122001213020
7123300561102
oct23762133244
96824237013
102680731300
111156226115
12629931170
133394cb150
141b6058c72
1510a52ab50
hex9fc8b6a4

2680731300 has 144 divisors (see below), whose sum is σ = 8373700160. Its totient is φ = 658229760.

The previous prime is 2680731283. The next prime is 2680731301. The reversal of 2680731300 is 31370862.

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

It is not an unprimeable number, because it can be changed into a prime (2680731301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507166 + ... + 2508234.

Almost surely, 22680731300 is an apocalyptic number.

2680731300 is a gapful number since it is divisible by the number (20) 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 2680731300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186850080).

2680731300 is an abundant number, since it is smaller than the sum of its proper divisors (5692968860).

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

2680731300 is a wasteful number, since it uses less digits than its factorization.

2680731300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2680731300 is about 51775.7790863643. The cubic root of 2680731300 is about 1389.1562430983.

The spelling of 2680731300 in words is "two billion, six hundred eighty million, seven hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 643 650 780 975 1069 1286 1300 1929 1950 2138 2572 3207 3215 3858 3900 4276 5345 6414 6430 7716 8359 9645 10690 12828 12860 13897 16035 16075 16718 19290 21380 25077 26725 27794 32070 32150 33436 38580 41691 41795 48225 50154 53450 55588 64140 64300 69485 80175 83382 83590 96450 100308 106900 125385 138970 160350 166764 167180 192900 208455 208975 250770 277940 320700 347425 416910 417950 501540 626925 687367 694850 833820 835900 1042275 1253850 1374734 1389700 2062101 2084550 2507700 2749468 3436835 4124202 4169100 6873670 8248404 8935771 10310505 13747340 17184175 17871542 20621010 26807313 34368350 35743084 41242020 44678855 51552525 53614626 68736700 89357710 103105050 107229252 134036565 178715420 206210100 223394275 268073130 446788550 536146260 670182825 893577100 1340365650 2680731300