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36001332 = 22321000037
BaseRepresentation
bin1000100101010…
…1011000110100
32111202001112200
42021111120310
533204020312
63323344500
7615002103
oct211253064
974661480
1036001332
111935a374
1210082130
1375c6783
144ad203a
1532620dc
hex2255634

36001332 has 18 divisors (see below), whose sum is σ = 91003458. Its totient is φ = 12000432.

The previous prime is 36001313. The next prime is 36001367. The reversal of 36001332 is 23310063.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 35354916 + 646416 = 5946^2 + 804^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

36001332 is a modest number, since divided by 1332 gives 36 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 499983 + ... + 500054.

Almost surely, 236001332 is an apocalyptic number.

It is an amenable number.

36001332 is an abundant number, since it is smaller than the sum of its proper divisors (55002126).

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

36001332 is a wasteful number, since it uses less digits than its factorization.

36001332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000047 (or 1000042 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36001332 is about 6000.1109989733. The cubic root of 36001332 is about 330.1967972162.

Adding to 36001332 its reverse (23310063), we get a palindrome (59311395).

The spelling of 36001332 in words is "thirty-six million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1000037 2000074 3000111 4000148 6000222 9000333 12000444 18000666 36001332