Search a number
-
+
21006560 = 255177723
BaseRepresentation
bin101000000100…
…0100011100000
31110112020120202
41100020203200
520334202220
62030124332
7343360421
oct120104340
943466522
1021006560
11109485a3
1270506a8
134476623
142b0b648
151c9e275
hex14088e0

21006560 has 48 divisors (see below), whose sum is σ = 52554096. Its totient is φ = 7907328.

The previous prime is 21006551. The next prime is 21006563. The reversal of 21006560 is 6560012.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21006563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1142 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (1094877).

Almost surely, 221006560 is an apocalyptic number.

21006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21006560 is an abundant number, since it is smaller than the sum of its proper divisors (31547536).

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

21006560 is a wasteful number, since it uses less digits than its factorization.

21006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7755 (or 7747 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 21006560 is about 4583.2913937475. The cubic root of 21006560 is about 275.9211424927.

Adding to 21006560 its reverse (6560012), we get a palindrome (27566572).

The spelling of 21006560 in words is "twenty-one million, six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 7723 15446 30892 38615 61784 77230 123568 131291 154460 247136 262582 308920 525164 617840 656455 1050328 1235680 1312910 2100656 2625820 4201312 5251640 10503280 21006560