Search a number
-
+
21987360 = 2532515269
BaseRepresentation
bin101001111100…
…0000000100000
31112101001222200
41103320000200
521112043420
62103133200
7354614043
oct123700040
945331880
1021987360
111145847a
127444200
13472ab95
142cc4c5a
151de4b90
hex14f8020

21987360 has 72 divisors (see below), whose sum is σ = 75036780. Its totient is φ = 5862912.

The previous prime is 21987331. The next prime is 21987373. The reversal of 21987360 is 6378912.

21987360 is a `hidden beast` number, since 219 + 87 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21790224 + 197136 = 4668^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6195 + ... + 9074.

Almost surely, 221987360 is an apocalyptic number.

21987360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21987360 is an abundant number, since it is smaller than the sum of its proper divisors (53049420).

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

21987360 is a wasteful number, since it uses less digits than its factorization.

21987360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15290 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21987360 is about 4689.0681377007. The cubic root of 21987360 is about 280.1502594862.

The spelling of 21987360 in words is "twenty-one million, nine hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15269 30538 45807 61076 76345 91614 122152 137421 152690 183228 229035 244304 274842 305380 366456 458070 488608 549684 610760 687105 732912 916140 1099368 1221520 1374210 1465824 1832280 2198736 2443040 2748420 3664560 4397472 5496840 7329120 10993680 21987360