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67392 = 263413
BaseRepresentation
bin10000011101000000
310102110000
4100131000
54124032
61240000
7400323
oct203500
9112400
1067392
11466a6
1233000
13248a0
141a7ba
1514e7c
hex10740

67392 has 70 divisors (see below), whose sum is σ = 215138. Its totient is φ = 20736.

The previous prime is 67391. The next prime is 67399. The reversal of 67392 is 29376.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 20736 = 216^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2268) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5178 + ... + 5190.

67392 is a Friedman number, since it can be written as 936*72, using all its digits and the basic arithmetic operations.

267392 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 67392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107569).

67392 is an abundant number, since it is smaller than the sum of its proper divisors (147746).

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

67392 is a wasteful number, since it uses less digits than its factorization.

67392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 67392 is about 259.5996918334. The cubic root of 67392 is about 40.6945373162.

It can be divided in two parts, 673 and 92, that multiplied together give a palindrome (61916).

The spelling of 67392 in words is "sixty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392