Search a number
-
+
67983336 = 23321496337
BaseRepresentation
bin1000000110101…
…01011111101000
311201220220121100
410003111133220
5114400431321
610425041400
71453564101
oct403253750
9151826540
1067983336
1135413983
121a926260
1311113935
1490593a8
155e7d326
hex40d57e8

67983336 has 48 divisors (see below), whose sum is σ = 185386500. Its totient is φ = 22505472.

The previous prime is 67983283. The next prime is 67983343. The reversal of 67983336 is 63338976.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62252100 + 5731236 = 7890^2 + 2394^2 .

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 junction number, because it is equal to n+sod(n) for n = 67983291 and 67983300.

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 11 ways as a sum of consecutive naturals, for example, 7560 + ... + 13896.

Almost surely, 267983336 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 67983336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92693250).

67983336 is an abundant number, since it is smaller than the sum of its proper divisors (117403164).

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

67983336 is a wasteful number, since it uses less digits than its factorization.

67983336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6491 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 67983336 is about 8245.2007859118. The cubic root of 67983336 is about 408.1321659479.

The spelling of 67983336 in words is "sixty-seven million, nine hundred eighty-three thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 6337 10728 12674 19011 25348 38022 50696 57033 76044 114066 152088 228132 456264 944213 1888426 2832639 3776852 5665278 7553704 8497917 11330556 16995834 22661112 33991668 67983336