Search a number
-
+
21561480 = 23325101593
BaseRepresentation
bin101001001000…
…0000010001000
31111120102210100
41102100002020
521004431410
62050045400
7351161313
oct122200210
944512710
1021561480
1111197506
127279860
13460c095
142c1397a
151d5d8c0
hex1490088

21561480 has 96 divisors (see below), whose sum is σ = 70887960. Its totient is φ = 5683200.

The previous prime is 21561479. The next prime is 21561481. The reversal of 21561480 is 8416512.

21561480 is a `hidden beast` number, since 21 + 561 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (21561479) and next prime (21561481).

It can be written as a sum of positive squares in 4 ways, for example, as 21288996 + 272484 = 4614^2 + 522^2 .

It is not an unprimeable number, because it can be changed into a prime (21561481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36064 + ... + 36656.

Almost surely, 221561480 is an apocalyptic number.

21561480 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 21561480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35443980).

21561480 is an abundant number, since it is smaller than the sum of its proper divisors (49326480).

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

21561480 is a wasteful number, since it uses less digits than its factorization.

21561480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 704 counting only the distinct ones).

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

The square root of 21561480 is about 4643.4340740448. The cubic root of 21561480 is about 278.3296815071.

Adding to 21561480 its reverse (8416512), we get a palindrome (29977992).

The spelling of 21561480 in words is "twenty-one million, five hundred sixty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 101 120 180 202 303 360 404 505 593 606 808 909 1010 1186 1212 1515 1779 1818 2020 2372 2424 2965 3030 3558 3636 4040 4545 4744 5337 5930 6060 7116 7272 8895 9090 10674 11860 12120 14232 17790 18180 21348 23720 26685 35580 36360 42696 53370 59893 71160 106740 119786 179679 213480 239572 299465 359358 479144 539037 598930 718716 898395 1078074 1197860 1437432 1796790 2156148 2395720 2695185 3593580 4312296 5390370 7187160 10780740 21561480