Search a number
-
+
73368420 = 223510112107
BaseRepresentation
bin1000101111110…
…00001101100100
312010001111112220
410113320031210
5122240242140
611140312340
71550423046
oct427701544
9163044486
1073368420
1138461864
12206a26b0
131227aa88
149a5ba96
156693bd0
hex45f8364

73368420 has 48 divisors (see below), whose sum is σ = 207482688. Its totient is φ = 19369600.

The previous prime is 73368409. The next prime is 73368433. The reversal of 73368420 is 2486337.

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, 7 + ... + 12113.

It is an arithmetic number, because the mean of its divisors is an integer number (4322556).

Almost surely, 273368420 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 73368420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103741344).

73368420 is an abundant number, since it is smaller than the sum of its proper divisors (134114268).

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

73368420 is a wasteful number, since it uses less digits than its factorization.

73368420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12220 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 73368420 is about 8565.5367607640. The cubic root of 73368420 is about 418.6358233304.

The spelling of 73368420 in words is "seventy-three million, three hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 12107 24214 36321 48428 60535 72642 121070 145284 181605 242140 363210 726420 1222807 2445614 3668421 4891228 6114035 7336842 12228070 14673684 18342105 24456140 36684210 73368420