Search a number
-
+
36231140 = 22511374451
BaseRepresentation
bin1000101000110…
…1011111100100
32112011201210002
42022031133210
533233344030
63332320432
7616650101
oct212153744
975151702
1036231140
11194a6aa0
1210173118
13767725a
144b51aa8
1532aa245
hex228d7e4

36231140 has 48 divisors (see below), whose sum is σ = 85264704. Its totient is φ = 12816000.

The previous prime is 36231137. The next prime is 36231191. The reversal of 36231140 is 4113263.

36231140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5915 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (1776348).

Almost surely, 236231140 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 36231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42632352).

36231140 is an abundant number, since it is smaller than the sum of its proper divisors (49033564).

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

36231140 is a wasteful number, since it uses less digits than its factorization.

36231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 36231140 is about 6019.2308478742. The cubic root of 36231140 is about 330.8978914270.

The spelling of 36231140 in words is "thirty-six million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 4451 8140 8902 17804 22255 44510 48961 89020 97922 164687 195844 244805 329374 489610 658748 823435 979220 1646870 1811557 3293740 3623114 7246228 9057785 18115570 36231140