Search a number
-
+
36057636 = 22341091021
BaseRepresentation
bin1000100110001…
…1001000100100
32111211220210000
42021203020210
533212321021
63324501300
7615325206
oct211431044
974756700
1036057636
11193986aa
12100aa830
1376162a4
144b08776
153273b26
hex2263224

36057636 has 60 divisors (see below), whose sum is σ = 95219740. Its totient is φ = 11897280.

The previous prime is 36057617. The next prime is 36057661. The reversal of 36057636 is 63675063.

It can be written as a sum of positive squares in 2 ways, for example, as 23097636 + 12960000 = 4806^2 + 3600^2 .

It is a super-2 number, since 2×360576362 = 2600306227816992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36057636.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34806 + ... + 35826.

Almost surely, 236057636 is an apocalyptic number.

36057636 is a gapful number since it is divisible by the number (36) 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 36057636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47609870).

36057636 is an abundant number, since it is smaller than the sum of its proper divisors (59162104).

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

36057636 is a wasteful number, since it uses less digits than its factorization.

36057636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 36057636 is about 6004.8010791366. The cubic root of 36057636 is about 330.3688437849.

The spelling of 36057636 in words is "thirty-six million, fifty-seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 436 654 981 1021 1308 1962 2042 2943 3063 3924 4084 5886 6126 8829 9189 11772 12252 17658 18378 27567 35316 36756 55134 82701 110268 111289 165402 222578 330804 333867 445156 667734 1001601 1335468 2003202 3004803 4006404 6009606 9014409 12019212 18028818 36057636