Search a number
-
+
68832680 = 2357435717
BaseRepresentation
bin1000001101001…
…00110110101000
311210112001200112
410012210312220
5120110121210
610455153452
71464032240
oct406446650
9153461615
1068832680
1135944014
121b075888
13113503c7
1491dab20
156099d05
hex41a4da8

68832680 has 64 divisors (see below), whose sum is σ = 181146240. Its totient is φ = 23046912.

The previous prime is 68832667. The next prime is 68832683. The reversal of 68832680 is 8623886.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (68832683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9182 + ... + 14898.

It is an arithmetic number, because the mean of its divisors is an integer number (2830410).

Almost surely, 268832680 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 68832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90573120).

68832680 is an abundant number, since it is smaller than the sum of its proper divisors (112313560).

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

68832680 is a wasteful number, since it uses less digits than its factorization.

68832680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5778 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 68832680 is about 8296.5462693822. The cubic root of 68832680 is about 409.8247912884.

The spelling of 68832680 in words is "sixty-eight million, eight hundred thirty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 5717 6020 11434 12040 22868 28585 40019 45736 57170 80038 114340 160076 200095 228680 245831 320152 400190 491662 800380 983324 1229155 1600760 1720817 1966648 2458310 3441634 4916620 6883268 8604085 9833240 13766536 17208170 34416340 68832680