Search a number
-
+
3636036 = 2233131257
BaseRepresentation
bin1101110111101101000100
320211201201000
431313231010
51412323121
6205533300
742622455
oct15675504
96751630
103636036
112063898
121274230
139a4001
146a912c
154bc526
hex377b44

3636036 has 48 divisors (see below), whose sum is σ = 9535680. Its totient is φ = 1198080.

The previous prime is 3636019. The next prime is 3636043. The reversal of 3636036 is 6306363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 14020 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (198660).

Almost surely, 23636036 is an apocalyptic number.

3636036 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 3636036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767840).

3636036 is an abundant number, since it is smaller than the sum of its proper divisors (5899644).

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

3636036 is a wasteful number, since it uses less digits than its factorization.

3636036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3636036 is about 1906.8392695768. The cubic root of 3636036 is about 153.7715734154.

It can be divided in two parts, 363603 and 6, that added together give a square (363609 = 6032).

The spelling of 3636036 in words is "three million, six hundred thirty-six thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 257 262 393 514 524 771 786 1028 1179 1542 1572 2313 2358 3084 3537 4626 4716 6939 7074 9252 13878 14148 27756 33667 67334 101001 134668 202002 303003 404004 606006 909009 1212012 1818018 3636036