Search a number
-
+
68533560 = 23335233189
BaseRepresentation
bin1000001010110…
…11110100111000
311202221212101000
410011123310320
5120021033220
610444525000
71461345204
oct405336470
9152855330
1068533560
113575a307
121ab50760
1311277204
14915db04
15603b390
hex415bd38

68533560 has 256 divisors, whose sum is σ = 248832000. Its totient is φ = 16727040.

The previous prime is 68533519. The next prime is 68533571. The reversal of 68533560 is 6533586.

68533560 is a `hidden beast` number, since 68 + 5 + 33 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769996 + ... + 770084.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 268533560 is an apocalyptic number.

68533560 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 68533560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124416000).

68533560 is an abundant number, since it is smaller than the sum of its proper divisors (180298440).

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

68533560 is a wasteful number, since it uses less digits than its factorization.

68533560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 68533560 is about 8278.4998641058. The cubic root of 68533560 is about 409.2302830161.

The spelling of 68533560 in words is "sixty-eight million, five hundred thirty-three thousand, five hundred sixty".