Search a number
-
+
68883300 = 22325276537
BaseRepresentation
bin1000001101100…
…01001101100100
311210121122010100
410012301031210
5120113231200
610500224100
71464332643
oct406611544
9153548110
1068883300
1135979052
121b09b030
131136a465
14921135a
1560a9d00
hex41b1364

68883300 has 54 divisors (see below), whose sum is σ = 215913698. Its totient is φ = 18368640.

The previous prime is 68883299. The next prime is 68883301. The reversal of 68883300 is 338886.

It is an interprime number because it is at equal distance from previous prime (68883299) and next prime (68883301).

It can be written as a sum of positive squares in 3 ways, for example, as 20358144 + 48525156 = 4512^2 + 6966^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68883301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37369 + ... + 39168.

Almost surely, 268883300 is an apocalyptic number.

68883300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68883300 is an abundant number, since it is smaller than the sum of its proper divisors (147030398).

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

68883300 is a wasteful number, since it uses less digits than its factorization.

68883300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76557 (or 76547 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 68883300 is about 8299.5963757282. The cubic root of 68883300 is about 409.9252292760.

The spelling of 68883300 in words is "sixty-eight million, eight hundred eighty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 76537 153074 229611 306148 382685 459222 688833 765370 918444 1148055 1377666 1530740 1913425 2296110 2755332 3444165 3826850 4592220 5740275 6888330 7653700 11480550 13776660 17220825 22961100 34441650 68883300