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68148 = 2233631
BaseRepresentation
bin10000101000110100
310110111000
4100220310
54140043
61243300
7402453
oct205064
9113430
1068148
1147223
1233530
1325032
141ab9a
15152d3
hex10a34

68148 has 24 divisors (see below), whose sum is σ = 176960. Its totient is φ = 22680.

The previous prime is 68147. The next prime is 68161. The reversal of 68148 is 84186.

It is a Harshad number since it is a multiple of its sum of digits (27).

68148 is a modest number, since divided by 148 gives 68 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68148.

It is not an unprimeable number, because it can be changed into a prime (68141) 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, 208 + ... + 423.

268148 is an apocalyptic number.

It is an amenable number.

68148 is an abundant number, since it is smaller than the sum of its proper divisors (108812).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88480).

68148 is a wasteful number, since it uses less digits than its factorization.

68148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 68148 is about 261.0517190137. The cubic root of 68148 is about 40.8461415695.

Subtracting from 68148 its sum of digits (27), we obtain a square (68121 = 2612).

It can be divided in two parts, 681 and 48, that added together give a 6-th power (729 = 36).

The spelling of 68148 in words is "sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 631 1262 1893 2524 3786 5679 7572 11358 17037 22716 34074 68148