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63768036 = 2235314003
BaseRepresentation
bin1111001101000…
…0010111100100
311102222202022010
43303100113210
5112311034121
610154434220
71403006433
oct363202744
9142882263
1063768036
1132aa4962
1219432970
1310299087
14867d11a
1558e9376
hex3cd05e4

63768036 has 12 divisors (see below), whose sum is σ = 148792112. Its totient is φ = 21256008.

The previous prime is 63768031. The next prime is 63768053. The reversal of 63768036 is 63086736.

It is a happy number.

63768036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 63767985 and 63768003.

It is not an unprimeable number, because it can be changed into a prime (63768031) 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 3 ways as a sum of consecutive naturals, for example, 2656990 + ... + 2657013.

Almost surely, 263768036 is an apocalyptic number.

It is an amenable number.

63768036 is an abundant number, since it is smaller than the sum of its proper divisors (85024076).

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

63768036 is a wasteful number, since it uses less digits than its factorization.

63768036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314010 (or 5314008 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 63768036 is about 7985.4890895924. The cubic root of 63768036 is about 399.5161566417.

The spelling of 63768036 in words is "sixty-three million, seven hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 12 5314003 10628006 15942009 21256012 31884018 63768036