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21339180 = 2233543919
BaseRepresentation
bin101000101100…
…1110000101100
31111011010212000
41101121300230
520430323210
62041212300
7346244232
oct121316054
944133760
1021339180
1111055495
127191090
134561b45
142b96952
151d17ac0
hex1459c2c

21339180 has 96 divisors (see below), whose sum is σ = 68006400. Its totient is φ = 5552064.

The previous prime is 21339173. The next prime is 21339181. The reversal of 21339180 is 8193312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21339181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22761 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (708400).

Almost surely, 221339180 is an apocalyptic number.

21339180 is a gapful number since it is divisible by the number (20) 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 21339180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34003200).

21339180 is an abundant number, since it is smaller than the sum of its proper divisors (46667220).

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

21339180 is a wasteful number, since it uses less digits than its factorization.

21339180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21339180 is about 4619.4350303906. The cubic root of 21339180 is about 277.3698440026.

It can be divided in two parts, 213 and 39180, that added together give a palindrome (39393).

The spelling of 21339180 in words is "twenty-one million, three hundred thirty-nine thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 919 1161 1290 1548 1838 1935 2322 2580 2757 3676 3870 4595 4644 5514 5805 7740 8271 9190 11028 11610 13785 16542 18380 23220 24813 27570 33084 39517 41355 49626 55140 79034 82710 99252 118551 124065 158068 165420 197585 237102 248130 355653 395170 474204 496260 592755 711306 790340 1066959 1185510 1422612 1778265 2133918 2371020 3556530 4267836 5334795 7113060 10669590 21339180