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36968031 = 3219920641
BaseRepresentation
bin1000110100000…
…1011001011111
32120120011121100
42031001121133
533430434111
63400204143
7626136342
oct215013137
976504540
1036968031
111995a6a1
1210469653
137874799
144ca4459
1533a3756
hex234165f

36968031 has 12 divisors (see below), whose sum is σ = 53669200. Its totient is φ = 24520320.

The previous prime is 36968021. The next prime is 36968059. The reversal of 36968031 is 13086963.

It is a happy number.

36968031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36968031 - 29 = 36967519 is a prime.

It is a super-2 number, since 2×369680312 = 2733270632033922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36968021) 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 11 ways as a sum of consecutive naturals, for example, 8530 + ... + 12111.

Almost surely, 236968031 is an apocalyptic number.

36968031 is a deficient number, since it is larger than the sum of its proper divisors (16701169).

36968031 is a wasteful number, since it uses less digits than its factorization.

36968031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846 (or 20843 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 36968031 is about 6080.1341268100. The cubic root of 36968031 is about 333.1261865195.

The spelling of 36968031 in words is "thirty-six million, nine hundred sixty-eight thousand, thirty-one".

Divisors: 1 3 9 199 597 1791 20641 61923 185769 4107559 12322677 36968031