Search a number
-
+
36680 = 2357131
BaseRepresentation
bin1000111101001000
31212022112
420331020
52133210
6441452
7211640
oct107510
955275
1036680
1125616
1219288
1313907
14d520
15ad05
hex8f48

36680 has 32 divisors (see below), whose sum is σ = 95040. Its totient is φ = 12480.

The previous prime is 36677. The next prime is 36683. The reversal of 36680 is 8663.

36680 = T19 + T20 + ... + T60.

It is an interprime number because it is at equal distance from previous prime (36677) and next prime (36683).

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36683) 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 7 ways as a sum of consecutive naturals, for example, 215 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

236680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520).

36680 is an abundant number, since it is smaller than the sum of its proper divisors (58360).

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

36680 is a wasteful number, since it uses less digits than its factorization.

36680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 36680 is about 191.5202339180. The cubic root of 36680 is about 33.2258761833.

The spelling of 36680 in words is "thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 131 140 262 280 524 655 917 1048 1310 1834 2620 3668 4585 5240 7336 9170 18340 36680