Search a number
-
+
683674720 = 255171913229
BaseRepresentation
bin101000110000000…
…000110001100000
31202122110021101221
4220300000301200
52400010042340
6151501304424
722641065521
oct5060006140
91678407357
10683674720
11320a09a33
12170b65114
13ab844771
1466b28848
154004a44a
hex28c00c60

683674720 has 96 divisors (see below), whose sum is σ = 1800338400. Its totient is φ = 243818496.

The previous prime is 683674687. The next prime is 683674723. The reversal of 683674720 is 27476386.

It is a happy number.

It is a super-2 number, since 2×6836747202 = 934822245534156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683674723) 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, 45066 + ... + 58294.

It is an arithmetic number, because the mean of its divisors is an integer number (18753525).

Almost surely, 2683674720 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 683674720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900169200).

683674720 is an abundant number, since it is smaller than the sum of its proper divisors (1116663680).

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

683674720 is a wasteful number, since it uses less digits than its factorization.

683674720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 683674720 is about 26147.1742259082. The cubic root of 683674720 is about 880.9471207691.

The spelling of 683674720 in words is "six hundred eighty-three million, six hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2584 2720 3040 3230 5168 6460 10336 12920 13229 25840 26458 51680 52916 66145 105832 132290 211664 224893 251351 264580 423328 449786 502702 529160 899572 1005404 1058320 1124465 1256755 1799144 2010808 2116640 2248930 2513510 3598288 4021616 4272967 4497860 5027020 7196576 8043232 8545934 8995720 10054040 17091868 17991440 20108080 21364835 34183736 35982880 40216160 42729670 68367472 85459340 136734944 170918680 341837360 683674720