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36530964 = 22321014749
BaseRepresentation
bin1000101101011…
…0101100010100
32112201222001200
42023112230110
533322442324
63342552500
7622336161
oct213265424
975658050
1036530964
1119691288
1210298730
137750872
144bcd068
153318ec9
hex22d6b14

36530964 has 18 divisors (see below), whose sum is σ = 92342250. Its totient is φ = 12176976.

The previous prime is 36530953. The next prime is 36530999. The reversal of 36530964 is 46903563.

36530964 is a `hidden beast` number, since 36 + 530 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22014864 + 14516100 = 4692^2 + 3810^2 .

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

It is a super-2 number, since 2×365309642 = 2669022661538592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1014749 = 36530964 / (3 + 6 + 5 + 3 + 0 + 9 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 507339 + ... + 507410.

It is an arithmetic number, because the mean of its divisors is an integer number (5130125).

Almost surely, 236530964 is an apocalyptic number.

It is an amenable number.

36530964 is an abundant number, since it is smaller than the sum of its proper divisors (55811286).

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

36530964 is a wasteful number, since it uses less digits than its factorization.

36530964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014759 (or 1014754 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36530964 is about 6044.0850424196. The cubic root of 36530964 is about 331.8081462792.

It can be divided in two parts, 365 and 30964, that added together give a square (31329 = 1772).

The spelling of 36530964 in words is "thirty-six million, five hundred thirty thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1014749 2029498 3044247 4058996 6088494 9132741 12176988 18265482 36530964