Search a number
-
+
36069984 = 2532125243
BaseRepresentation
bin1000100110011…
…0001001100000
32111212112201100
42021212021200
533213214414
63325034400
7615406206
oct211461140
974775640
1036069984
11193a6a05
12100b5a00
13761bab2
144b0d076
153277609
hex2266260

36069984 has 36 divisors (see below), whose sum is σ = 102574836. Its totient is φ = 12023232.

The previous prime is 36069977. The next prime is 36069989. The reversal of 36069984 is 48996063.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36069989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 62334 + ... + 62909.

It is an arithmetic number, because the mean of its divisors is an integer number (2849301).

Almost surely, 236069984 is an apocalyptic number.

It is an amenable number.

36069984 is an abundant number, since it is smaller than the sum of its proper divisors (66504852).

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

36069984 is a wasteful number, since it uses less digits than its factorization.

36069984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125259 (or 125248 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 36069984 is about 6005.8291683996. The cubic root of 36069984 is about 330.4065512755.

The spelling of 36069984 in words is "thirty-six million, sixty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 125243 250486 375729 500972 751458 1001944 1127187 1502916 2003888 2254374 3005832 4007776 4508748 6011664 9017496 12023328 18034992 36069984