Search a number
-
+
68531400 = 2333527337
BaseRepresentation
bin1000001010110…
…11010011001000
311202221202102000
410011123103020
5120021001100
610444511000
71461336000
oct405332310
9152852360
1068531400
1135758723
121ab4b460
1311276232
14915d000
15603a900
hex415b4c8

68531400 has 384 divisors, whose sum is σ = 282720000. Its totient is φ = 15240960.

The previous prime is 68531399. The next prime is 68531413. The reversal of 68531400 is 413586.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1852182 + ... + 1852218.

It is an arithmetic number, because the mean of its divisors is an integer number (736250).

Almost surely, 268531400 is an apocalyptic number.

68531400 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 68531400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141360000).

68531400 is an abundant number, since it is smaller than the sum of its proper divisors (214188600).

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

68531400 is a wasteful number, since it uses less digits than its factorization.

68531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

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

The square root of 68531400 is about 8278.3694046593. The cubic root of 68531400 is about 409.2259836787.

Adding to 68531400 its reverse (413586), we get a palindrome (68944986).

The spelling of 68531400 in words is "sixty-eight million, five hundred thirty-one thousand, four hundred".