Search a number
-
+
68641740 = 22325381343
BaseRepresentation
bin1000001011101…
…10001111001100
311210011100202200
410011312033030
5120033013430
610451121500
71462305456
oct405661714
9153140680
1068641740
1135823612
121aba3290
13112b451b
14918b2d6
15605d460
hex41763cc

68641740 has 36 divisors (see below), whose sum is σ = 208213824. Its totient is φ = 18304416.

The previous prime is 68641711. The next prime is 68641751. The reversal of 68641740 is 4714686.

68641740 is a `hidden beast` number, since 6 + 8 + 641 + 7 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 68641695 and 68641704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190492 + ... + 190851.

Almost surely, 268641740 is an apocalyptic number.

68641740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68641740 is an abundant number, since it is smaller than the sum of its proper divisors (139572084).

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

68641740 is a wasteful number, since it uses less digits than its factorization.

68641740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381358 (or 381353 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68641740 is about 8285.0310802072. The cubic root of 68641740 is about 409.4454927070.

The spelling of 68641740 in words is "sixty-eight million, six hundred forty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 381343 762686 1144029 1525372 1906715 2288058 3432087 3813430 4576116 5720145 6864174 7626860 11440290 13728348 17160435 22880580 34320870 68641740