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67998204 = 22382591
BaseRepresentation
bin1000000110110…
…01000111111100
311201221200000000
410003121013330
5114401420304
610425234300
71453655331
oct403310774
9151850000
1067998204
113542406a
121a932990
131111a631
149060988
155e82939
hex40d91fc

67998204 has 54 divisors (see below), whose sum is σ = 178555104. Its totient is φ = 22657320.

The previous prime is 67998197. The next prime is 67998209. The reversal of 67998204 is 40289976.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 67998204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67998209) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24949 + ... + 27539.

It is an arithmetic number, because the mean of its divisors is an integer number (3306576).

Almost surely, 267998204 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 67998204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89277552).

67998204 is an abundant number, since it is smaller than the sum of its proper divisors (110556900).

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

67998204 is an equidigital number, since it uses as much as digits as its factorization.

67998204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 67998204 is about 8246.1023520206. The cubic root of 67998204 is about 408.1619167030.

The spelling of 67998204 in words is "sixty-seven million, nine hundred ninety-eight thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2591 2916 4374 5182 6561 7773 8748 10364 13122 15546 23319 26244 31092 46638 69957 93276 139914 209871 279828 419742 629613 839484 1259226 1888839 2518452 3777678 5666517 7555356 11333034 16999551 22666068 33999102 67998204