Search a number
-
+
36370060 = 2252973859
BaseRepresentation
bin1000101010111…
…1011010001100
32112102210100021
42022233122030
533302320220
63335311524
7621066106
oct212573214
975383307
1036370060
1119591401
121021b5a4
1376c555c
144b8a576
1532d64aa
hex22af68c

36370060 has 48 divisors (see below), whose sum is σ = 80186400. Its totient is φ = 13837824.

The previous prime is 36370013. The next prime is 36370069. The reversal of 36370060 is 6007363.

It is a happy number.

36370060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36370069) by changing a digit.

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, 41911 + ... + 42769.

It is an arithmetic number, because the mean of its divisors is an integer number (1670550).

Almost surely, 236370060 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 36370060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40093200).

36370060 is an abundant number, since it is smaller than the sum of its proper divisors (43816340).

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

36370060 is a wasteful number, since it uses less digits than its factorization.

36370060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 36370060 is about 6030.7594878257. The cubic root of 36370060 is about 331.3202694166.

The spelling of 36370060 in words is "thirty-six million, three hundred seventy thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 859 1460 1718 2117 3436 4234 4295 8468 8590 10585 17180 21170 24911 42340 49822 62707 99644 124555 125414 249110 250828 313535 498220 627070 1254140 1818503 3637006 7274012 9092515 18185030 36370060