Search a number
-
+
96068700 = 2233527131723
BaseRepresentation
bin1011011100111…
…10010001011100
320200202210111000
411232132101130
5144043144300
613311030300
72244366450
oct556362134
9220683430
1096068700
114a256922
122820b390
1316b982b0
14ca8a660
158679c00
hex5b9e45c

96068700 has 576 divisors, whose sum is σ = 419973120. Its totient is φ = 18247680.

The previous prime is 96068681. The next prime is 96068729. The reversal of 96068700 is 786069.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4176889 + ... + 4176911.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 296068700 is an apocalyptic number.

96068700 is a gapful number since it is divisible by the number (90) 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 96068700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209986560).

96068700 is an abundant number, since it is smaller than the sum of its proper divisors (323904420).

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

96068700 is a wasteful number, since it uses less digits than its factorization.

96068700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96068700 is about 9801.4641763361. The cubic root of 96068700 is about 457.9948957943.

The spelling of 96068700 in words is "ninety-six million, sixty-eight thousand, seven hundred".