Search a number
-
+
36078060 = 2235738237
BaseRepresentation
bin1000100110100…
…0000111101100
32111212221210110
42021220013230
533213444220
63325140020
7615441564
oct211500754
974787713
1036078060
1119401a87
12100ba610
137622685
144b11da4
153279be0
hex22681ec

36078060 has 48 divisors (see below), whose sum is σ = 102414816. Its totient is φ = 9487872.

The previous prime is 36078047. The next prime is 36078089. The reversal of 36078060 is 6087063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 262 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (2133642).

Almost surely, 236078060 is an apocalyptic number.

36078060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36078060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51207408).

36078060 is an abundant number, since it is smaller than the sum of its proper divisors (66336756).

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

36078060 is a wasteful number, since it uses less digits than its factorization.

36078060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 36078060 is about 6006.5014775658. The cubic root of 36078060 is about 330.4312085657.

The spelling of 36078060 in words is "thirty-six million, seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4380 8237 16474 24711 32948 41185 49422 82370 98844 123555 164740 247110 494220 601301 1202602 1803903 2405204 3006505 3607806 6013010 7215612 9019515 12026020 18039030 36078060