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55068 = 22313353
BaseRepresentation
bin1101011100011100
32210112120
431130130
53230233
61102540
7316356
oct153434
983476
1055068
1138412
1227a50
131c0b0
14160d6
15114b3
hexd71c

55068 has 24 divisors (see below), whose sum is σ = 138768. Its totient is φ = 16896.

The previous prime is 55061. The next prime is 55073. The reversal of 55068 is 86055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55061) by changing a digit.

55068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (5782).

255068 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 55068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69384).

55068 is an abundant number, since it is smaller than the sum of its proper divisors (83700).

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

55068 is a wasteful number, since it uses less digits than its factorization.

55068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 55068 is about 234.6657196951. The cubic root of 55068 is about 38.0451909267.

The spelling of 55068 in words is "fifty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 353 706 1059 1412 2118 4236 4589 9178 13767 18356 27534 55068