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36940 = 2251847
BaseRepresentation
bin1001000001001100
31212200011
421001030
52140230
6443004
7212461
oct110114
955604
1036940
1125832
1219464
1313a77
14d668
15ae2a
hex904c

36940 has 12 divisors (see below), whose sum is σ = 77616. Its totient is φ = 14768.

The previous prime is 36931. The next prime is 36943. The reversal of 36940 is 4963.

It is not an unprimeable number, because it can be changed into a prime (36943) by changing a digit.

36940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 904 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (6468).

236940 is an apocalyptic number.

It is an amenable number.

36940 is an abundant number, since it is smaller than the sum of its proper divisors (40676).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38808).

36940 is a wasteful number, since it uses less digits than its factorization.

36940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 36940 is about 192.1978147639. The cubic root of 36940 is about 33.3041967614.

The spelling of 36940 in words is "thirty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 1847 3694 7388 9235 18470 36940