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67054068 = 2234349593
BaseRepresentation
bin1111111111001…
…0100111110100
311200011200220000
43333302213310
5114131212233
610353111300
71442643624
oct377624764
9150150800
1067054068
1134939794
121a558530
1310b79983
148c96884
155d47d13
hex3ff29f4

67054068 has 60 divisors (see below), whose sum is σ = 176091300. Its totient is φ = 22249728.

The previous prime is 67054051. The next prime is 67054073. The reversal of 67054068 is 86045076.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 21734244 = 6732^2 + 4662^2 .

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 polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112780 + ... + 113372.

It is an arithmetic number, because the mean of its divisors is an integer number (2934855).

Almost surely, 267054068 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 67054068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88045650).

67054068 is an abundant number, since it is smaller than the sum of its proper divisors (109037232).

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

67054068 is a wasteful number, since it uses less digits than its factorization.

67054068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 67054068 is about 8188.6548345867. The cubic root of 67054068 is about 406.2640342923.

The spelling of 67054068 in words is "sixty-seven million, fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 349 593 698 1047 1186 1396 1779 2094 2372 3141 3558 4188 5337 6282 7116 9423 10674 12564 16011 18846 21348 28269 32022 37692 48033 56538 64044 96066 113076 192132 206957 413914 620871 827828 1241742 1862613 2483484 3725226 5587839 7450452 11175678 16763517 22351356 33527034 67054068