Search a number
-
+
68512860 = 2232513192367
BaseRepresentation
bin1000001010101…
…10110001011100
311202220210222100
410011112301130
5120014402420
610444245100
71461230643
oct405266134
9152823870
1068512860
11357457a9
121ab40790
131126a970
14915635a
156035190
hex4156c5c

68512860 has 288 divisors, whose sum is σ = 249500160. Its totient is φ = 15054336.

The previous prime is 68512831. The next prime is 68512861. The reversal of 68512860 is 6821586.

It is a happy number.

68512860 is a `hidden beast` number, since 68 + 512 + 86 + 0 = 666.

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 (68512861) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1022547 + ... + 1022613.

It is an arithmetic number, because the mean of its divisors is an integer number (866320).

Almost surely, 268512860 is an apocalyptic number.

68512860 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 68512860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

68512860 is an abundant number, since it is smaller than the sum of its proper divisors (180987300).

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

68512860 is a wasteful number, since it uses less digits than its factorization.

68512860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 68512860 is about 8277.2495431756. The cubic root of 68512860 is about 409.1890773164.

The spelling of 68512860 in words is "sixty-eight million, five hundred twelve thousand, eight hundred sixty".