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67054116 = 223193153179
BaseRepresentation
bin1111111111001…
…0101000100100
311200011200221210
43333302220210
5114131212431
610353111420
71442644023
oct377625044
9150150853
1067054116
1134939828
121a558570
1310b799bc
148c968ba
155d47d46
hex3ff2a24

67054116 has 96 divisors (see below), whose sum is σ = 174182400. Its totient is φ = 19992960.

The previous prime is 67054111. The next prime is 67054121. The reversal of 67054116 is 61145076.

It is an interprime number because it is at equal distance from previous prime (67054111) and next prime (67054121).

It is not an unprimeable number, because it can be changed into a prime (67054111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374515 + ... + 374693.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 267054116 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 67054116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

67054116 is an abundant number, since it is smaller than the sum of its proper divisors (107128284).

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

67054116 is a wasteful number, since it uses less digits than its factorization.

67054116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 67054116 is about 8188.6577654705. The cubic root of 67054116 is about 406.2641312323.

The spelling of 67054116 in words is "sixty-seven million, fifty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 31 38 53 57 62 76 93 106 114 124 159 179 186 212 228 318 358 372 537 589 636 716 1007 1074 1178 1643 1767 2014 2148 2356 3021 3286 3401 3534 4028 4929 5549 6042 6572 6802 7068 9487 9858 10203 11098 12084 13604 16647 18974 19716 20406 22196 28461 31217 33294 37948 40812 56922 62434 66588 93651 105431 113844 124868 180253 187302 210862 294097 316293 360506 374604 421724 540759 588194 632586 721012 882291 1081518 1176388 1265172 1764582 2163036 3529164 5587843 11175686 16763529 22351372 33527058 67054116