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67416 = 233532
BaseRepresentation
bin10000011101011000
310102110220
4100131120
54124131
61240040
7400356
oct203530
9112426
1067416
1146718
1233020
13248bb
141a7d6
1514e96
hex10758

67416 has 24 divisors (see below), whose sum is σ = 171780. Its totient is φ = 22048.

The previous prime is 67411. The next prime is 67421. The reversal of 67416 is 61476.

It is an interprime number because it is at equal distance from previous prime (67411) and next prime (67421).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1246 + ... + 1298.

267416 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 67416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85890).

67416 is an abundant number, since it is smaller than the sum of its proper divisors (104364).

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

67416 is a wasteful number, since it uses less digits than its factorization.

67416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 67416 is about 259.6459127350. The cubic root of 67416 is about 40.6993675284.

Multiplying 67416 by its sum of digits (24), we get a square (1617984 = 12722).

67416 divided by its sum of digits (24) gives a square (2809 = 532).

It can be divided in two parts, 67 and 416, that multiplied together give a palindrome (27872).

The spelling of 67416 in words is "sixty-seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 2809 5618 8427 11236 16854 22472 33708 67416