Search a number
-
+
68698600 = 2352536481
BaseRepresentation
bin1000001100001…
…00000111101000
311210021020202121
410012010013220
5120041323400
610452241024
71462633315
oct406040750
9153236677
1068698600
1135862303
121b010174
1311304379
1491a3d0c
15607021a
hex41841e8

68698600 has 48 divisors (see below), whose sum is σ = 162763020. Its totient is φ = 26956800.

The previous prime is 68698583. The next prime is 68698607. The reversal of 68698600 is 689686.

It can be written as a sum of positive squares in 6 ways, for example, as 51008164 + 17690436 = 7142^2 + 4206^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (68698607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7360 + ... + 13840.

Almost surely, 268698600 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 68698600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81381510).

68698600 is an abundant number, since it is smaller than the sum of its proper divisors (94064420).

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

68698600 is a wasteful number, since it uses less digits than its factorization.

68698600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 68698600 is about 8288.4618597180. The cubic root of 68698600 is about 409.5585174512.

The spelling of 68698600 in words is "sixty-eight million, six hundred ninety-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 6481 10600 12962 25924 32405 51848 64810 129620 162025 259240 324050 343493 648100 686986 1296200 1373972 1717465 2747944 3434930 6869860 8587325 13739720 17174650 34349300 68698600