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36631116 = 2234167677
BaseRepresentation
bin1000101110111…
…1001001001100
32112221001110000
42023233021030
533334143431
63345044300
7623234154
oct213571114
975831400
1036631116
111974a555
1210326690
137787322
144c17764
1533389e6
hex22ef24c

36631116 has 60 divisors (see below), whose sum is σ = 96476688. Its totient is φ = 12119328.

The previous prime is 36631103. The next prime is 36631117. The reversal of 36631116 is 61113663.

It is a happy number.

36631116 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36631116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36631117) 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 19 ways as a sum of consecutive naturals, for example, 53770 + ... + 54446.

Almost surely, 236631116 is an apocalyptic number.

36631116 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 36631116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48238344).

36631116 is an abundant number, since it is smaller than the sum of its proper divisors (59845572).

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

36631116 is a wasteful number, since it uses less digits than its factorization.

36631116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 36631116 is about 6052.3644966244. The cubic root of 36631116 is about 332.1110940935. Note that the first 3 decimals are identical.

Adding to 36631116 its reverse (61113663), we get a palindrome (97744779).

The spelling of 36631116 in words is "thirty-six million, six hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 324 334 501 668 677 1002 1354 1503 2004 2031 2708 3006 4062 4509 6012 6093 8124 9018 12186 13527 18036 18279 24372 27054 36558 54108 54837 73116 109674 113059 219348 226118 339177 452236 678354 1017531 1356708 2035062 3052593 4070124 6105186 9157779 12210372 18315558 36631116