[go: up one dir, main page]

Search a number
-
+
68231520 = 2532572967
BaseRepresentation
bin1000001000100…
…10000101100000
311202101112001100
410010102011200
5114431402040
610434234400
71455646500
oct404220540
9152345040
1068231520
1135573395
121aa25a00
131119c8a6
1490c1a00
155ecbb30
hex4112160

68231520 has 216 divisors, whose sum is σ = 271134864. Its totient is φ = 15579648.

The previous prime is 68231509. The next prime is 68231521. The reversal of 68231520 is 2513286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68231521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70077 + ... + 71043.

It is an arithmetic number, because the mean of its divisors is an integer number (1255254).

Almost surely, 268231520 is an apocalyptic number.

68231520 is a gapful number since it is divisible by the number (60) 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 68231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135567432).

68231520 is an abundant number, since it is smaller than the sum of its proper divisors (202903344).

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

68231520 is a wasteful number, since it uses less digits than its factorization.

68231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 68231520 is about 8260.2372847274. The cubic root of 68231520 is about 408.6282133035.

The spelling of 68231520 in words is "sixty-eight million, two hundred thirty-one thousand, five hundred twenty".