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36220960 = 255226381
BaseRepresentation
bin1000101000101…
…1000000100000
32112011012211001
42022023000200
533233032320
63332201344
7616605316
oct212130040
975135731
1036220960
111949a386
1210169254
137672729
144b4c0b6
1532a720a
hex228b020

36220960 has 24 divisors (see below), whose sum is σ = 85572396. Its totient is φ = 14488320.

The previous prime is 36220909. The next prime is 36220963. The reversal of 36220960 is 6902263.

It can be written as a sum of positive squares in 2 ways, for example, as 35856144 + 364816 = 5988^2 + 604^2 .

It is not an unprimeable number, because it can be changed into a prime (36220963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 113031 + ... + 113350.

Almost surely, 236220960 is an apocalyptic number.

It is an amenable number.

36220960 is an abundant number, since it is smaller than the sum of its proper divisors (49351436).

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

36220960 is a wasteful number, since it uses less digits than its factorization.

36220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226396 (or 226388 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 36220960 is about 6018.3851654742. The cubic root of 36220960 is about 330.8668973146.

The spelling of 36220960 in words is "thirty-six million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 226381 452762 905524 1131905 1811048 2263810 3622096 4527620 7244192 9055240 18110480 36220960