Search a number
-
+
67320504 = 23332291361
BaseRepresentation
bin1000000001100…
…11101010111000
311200200020101000
410000303222320
5114213224004
610402525000
71445133456
oct400635270
9150606330
1067320504
1135000989
121a666760
1310c41024
148d259d6
155d9bc39
hex4033ab8

67320504 has 64 divisors (see below), whose sum is σ = 187956000. Its totient is φ = 22325760.

The previous prime is 67320503. The next prime is 67320509. The reversal of 67320504 is 40502376.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67320503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48784 + ... + 50144.

Almost surely, 267320504 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 67320504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93978000).

67320504 is an abundant number, since it is smaller than the sum of its proper divisors (120635496).

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

67320504 is a wasteful number, since it uses less digits than its factorization.

67320504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 67320504 is about 8204.9073120907. The cubic root of 67320504 is about 406.8014131398.

The spelling of 67320504 in words is "sixty-seven million, three hundred twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1361 1374 1832 2061 2722 2748 4083 4122 5444 5496 6183 8166 8244 10888 12249 12366 16332 16488 24498 24732 32664 36747 48996 49464 73494 97992 146988 293976 311669 623338 935007 1246676 1870014 2493352 2805021 3740028 5610042 7480056 8415063 11220084 16830126 22440168 33660252 67320504