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36720 = 2433517
BaseRepresentation
bin1000111101110000
31212101000
420331300
52133340
6442000
7212025
oct107560
955330
1036720
1125652
1219300
1313938
14d54c
15ad30
hex8f70

36720 has 80 divisors (see below), whose sum is σ = 133920. Its totient is φ = 9216.

The previous prime is 36713. The next prime is 36721. The reversal of 36720 is 2763.

36720 is nontrivially palindromic in base 11.

36720 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 (80).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 36693 and 36702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36721) by changing a digit.

36720 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2152 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (1674).

236720 is an apocalyptic number.

36720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

36720 is an abundant number, since it is smaller than the sum of its proper divisors (97200).

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

36720 is a wasteful number, since it uses less digits than its factorization.

36720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 36720 is about 191.6246330721. The cubic root of 36720 is about 33.2379495405.

The spelling of 36720 in words is "thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720