[go: up one dir, main page]

Search a number
-
+
21134160 = 24325149197
BaseRepresentation
bin101000010011…
…1101101010000
31110202201121200
41100213231100
520402243120
62032551200
7344431425
oct120475520
943681550
1021134160
1110a25453
1270b2500
1344bc728
142b41d4c
151cc6e90
hex1427b50

21134160 has 120 divisors (see below), whose sum is σ = 71814600. Its totient is φ = 5569536.

The previous prime is 21134143. The next prime is 21134173. The reversal of 21134160 is 6143112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 17539344 = 1896^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 107182 + ... + 107378.

It is an arithmetic number, because the mean of its divisors is an integer number (598455).

Almost surely, 221134160 is an apocalyptic number.

21134160 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 21134160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35907300).

21134160 is an abundant number, since it is smaller than the sum of its proper divisors (50680440).

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

21134160 is a wasteful number, since it uses less digits than its factorization.

21134160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21134160 is about 4597.1904463487. The cubic root of 21134160 is about 276.4786903954.

Adding to 21134160 its reverse (6143112), we get a palindrome (27277272).

The spelling of 21134160 in words is "twenty-one million, one hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 149 180 197 240 298 360 394 447 591 596 720 745 788 894 985 1182 1192 1341 1490 1576 1773 1788 1970 2235 2364 2384 2682 2955 2980 3152 3546 3576 3940 4470 4728 5364 5910 5960 6705 7092 7152 7880 8865 8940 9456 10728 11820 11920 13410 14184 15760 17730 17880 21456 23640 26820 28368 29353 35460 35760 47280 53640 58706 70920 88059 107280 117412 141840 146765 176118 234824 264177 293530 352236 440295 469648 528354 587060 704472 880590 1056708 1174120 1320885 1408944 1761180 2113416 2348240 2641770 3522360 4226832 5283540 7044720 10567080 21134160