Search a number
-
+
68861016 = 23347171947
BaseRepresentation
bin1000001101010…
…11110001011000
311210120111120000
410012223301120
5120112023031
610455533000
71464210660
oct406536130
9153514500
1068861016
1135963334
121b08a160
1311360283
1492071a0
1560a33e6
hex41abc58

68861016 has 320 divisors, whose sum is σ = 250905600. Its totient is φ = 17169408.

The previous prime is 68861003. The next prime is 68861029. The reversal of 68861016 is 61016886.

It is an interprime number because it is at equal distance from previous prime (68861003) and next prime (68861029).

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 79 ways as a sum of consecutive naturals, for example, 1465105 + ... + 1465151.

It is an arithmetic number, because the mean of its divisors is an integer number (784080).

Almost surely, 268861016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68861016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125452800).

68861016 is an abundant number, since it is smaller than the sum of its proper divisors (182044584).

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

68861016 is a wasteful number, since it uses less digits than its factorization.

68861016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68861016 is about 8298.2537922144. The cubic root of 68861016 is about 409.8810204038.

Subtracting from 68861016 its sum of digits (36), we obtain a triangular number (68860980 = T11735).

The spelling of 68861016 in words is "sixty-eight million, eight hundred sixty-one thousand, sixteen".