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68816 = 24111723
BaseRepresentation
bin10000110011010000
310111101202
4100303100
54200231
61250332
7404426
oct206320
9114352
1068816
1147780
12339a8
1325427
141b116
15155cb
hex10cd0

68816 has 40 divisors (see below), whose sum is σ = 160704. Its totient is φ = 28160.

The previous prime is 68813. The next prime is 68819. The reversal of 68816 is 61886.

It is an interprime number because it is at equal distance from previous prime (68813) and next prime (68819).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981 + ... + 3003.

268816 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 68816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

68816 is an abundant number, since it is smaller than the sum of its proper divisors (91888).

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

68816 is a wasteful number, since it uses less digits than its factorization.

68816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 53 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 68816 is about 262.3280389131. The cubic root of 68816 is about 40.9791684777.

The spelling of 68816 in words is "sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 23 34 44 46 68 88 92 136 176 184 187 253 272 368 374 391 506 748 782 1012 1496 1564 2024 2992 3128 4048 4301 6256 8602 17204 34408 68816