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68220 = 22325379
BaseRepresentation
bin10000101001111100
310110120200
4100221330
54140340
61243500
7402615
oct205174
9113520
1068220
1147289
1233590
1325089
141ac0c
1515330
hex10a7c

68220 has 36 divisors (see below), whose sum is σ = 207480. Its totient is φ = 18144.

The previous prime is 68219. The next prime is 68227. The reversal of 68220 is 2286.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 68193 and 68202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 369.

268220 is an apocalyptic number.

68220 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 68220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103740).

68220 is an abundant number, since it is smaller than the sum of its proper divisors (139260).

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

68220 is a wasteful number, since it uses less digits than its factorization.

68220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 68220 is about 261.1895863161. The cubic root of 68220 is about 40.8605214832.

The spelling of 68220 in words is "sixty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 379 758 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 11370 13644 17055 22740 34110 68220