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36780 = 2235613
BaseRepresentation
bin1000111110101100
31212110020
420332230
52134110
6442140
7212142
oct107654
955406
1036780
11256a7
1219350
1313983
14d592
15ad70
hex8fac

36780 has 24 divisors (see below), whose sum is σ = 103152. Its totient is φ = 9792.

The previous prime is 36779. The next prime is 36781. The reversal of 36780 is 8763.

It is an interprime number because it is at equal distance from previous prime (36779) and next prime (36781).

It is a self number, because there is not a number n which added to its sum of digits gives 36780.

It is not an unprimeable number, because it can be changed into a prime (36781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (4298).

236780 is an apocalyptic number.

36780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36780 is an abundant number, since it is smaller than the sum of its proper divisors (66372).

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 (51576).

36780 is a wasteful number, since it uses less digits than its factorization.

36780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 36780 is about 191.7811252444. The cubic root of 36780 is about 33.2560431476.

The spelling of 36780 in words is "thirty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 613 1226 1839 2452 3065 3678 6130 7356 9195 12260 18390 36780