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68820 = 22353137
BaseRepresentation
bin10000110011010100
310111101220
4100303110
54200240
61250340
7404433
oct206324
9114356
1068820
1147784
12339b0
132542b
141b11a
15155d0
hex10cd4

68820 has 48 divisors (see below), whose sum is σ = 204288. Its totient is φ = 17280.

The previous prime is 68819. The next prime is 68821. The reversal of 68820 is 2886.

It is an interprime number because it is at equal distance from previous prime (68819) and next prime (68821).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1842 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

268820 is an apocalyptic number.

68820 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 68820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

68820 is an abundant number, since it is smaller than the sum of its proper divisors (135468).

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

68820 is a wasteful number, since it uses less digits than its factorization.

68820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 68820 is about 262.3356628444. The cubic root of 68820 is about 40.9799624476.

It can be divided in two parts, 68 and 820, that added together give a palindrome (888).

The spelling of 68820 in words is "sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1860 2220 2294 3441 4588 5735 6882 11470 13764 17205 22940 34410 68820