Search a number
-
+
67014696 = 23373710781
BaseRepresentation
bin1111111110100…
…1000000101000
311200002200212210
43333221000220
5114123432241
610352205120
71442421060
oct377510050
9150080783
1067014696
1134912151
121a5397a0
1310b64a88
148c863a0
155d3b316
hex3fe9028

67014696 has 64 divisors (see below), whose sum is σ = 196663680. Its totient is φ = 18627840.

The previous prime is 67014641. The next prime is 67014743. The reversal of 67014696 is 69641076.

67014696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×670146963 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 826 + ... + 11606.

It is an arithmetic number, because the mean of its divisors is an integer number (3072870).

Almost surely, 267014696 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 67014696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98331840).

67014696 is an abundant number, since it is smaller than the sum of its proper divisors (129648984).

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

67014696 is a wasteful number, since it uses less digits than its factorization.

67014696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834 (or 10830 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 67014696 is about 8186.2504237288. The cubic root of 67014696 is about 406.1845036502.

The spelling of 67014696 in words is "sixty-seven million, fourteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 10781 21562 32343 43124 64686 75467 86248 129372 150934 226401 258744 301868 398897 452802 603736 797794 905604 1196691 1595588 1811208 2393382 2792279 3191176 4786764 5584558 8376837 9573528 11169116 16753674 22338232 33507348 67014696