Search a number
-
+
21018465 = 32513193161
BaseRepresentation
bin101000000101…
…1011101100001
31110112211220200
41100023131201
520340042330
62030255413
7343440216
oct120133541
943484820
1021018465
1110956536
127057569
13447bb80
142b11b0d
151ca2a60
hex140b761

21018465 has 96 divisors (see below), whose sum is σ = 43330560. Its totient is φ = 9331200.

The previous prime is 21018461. The next prime is 21018467. The reversal of 21018465 is 56481012.

It is not a de Polignac number, because 21018465 - 22 = 21018461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21018461) 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 95 ways as a sum of consecutive naturals, for example, 344535 + ... + 344595.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 221018465 is an apocalyptic number.

It is an amenable number.

21018465 is an abundant number, since it is smaller than the sum of its proper divisors (22312095).

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

21018465 is a wasteful number, since it uses less digits than its factorization.

21018465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 21018465 is about 4584.5899489485. The cubic root of 21018465 is about 275.9732567030.

Adding to 21018465 its reverse (56481012), we get a palindrome (77499477).

The spelling of 21018465 in words is "twenty-one million, eighteen thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 19 31 39 45 57 61 65 93 95 117 155 171 183 195 247 279 285 305 403 465 549 585 589 741 793 855 915 1159 1209 1235 1395 1767 1891 2015 2223 2379 2745 2945 3477 3627 3705 3965 5301 5673 5795 6045 7137 7657 8835 9455 10431 11115 11895 15067 17019 17385 18135 22971 24583 26505 28365 35685 35929 38285 45201 52155 68913 73749 75335 85095 107787 114855 122915 135603 179645 221247 226005 323361 344565 368745 467077 538935 678015 1106235 1401231 1616805 2335385 4203693 7006155 21018465