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21507136 = 26761787
BaseRepresentation
bin101001000001…
…0110001000000
31111110200020121
41102002301000
521001212021
62044550024
7350544010
oct122026100
944420217
1021507136
111115a6a2
127252314
1345c0421
142bdbc40
151d4c741
hex1482c40

21507136 has 56 divisors (see below), whose sum is σ = 49637696. Its totient is φ = 9054720.

The previous prime is 21507133. The next prime is 21507137. The reversal of 21507136 is 63170512.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 21507136.

It is not an unprimeable number, because it can be changed into a prime (21507133) 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, 26935 + ... + 27721.

Almost surely, 221507136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24818848).

21507136 is an abundant number, since it is smaller than the sum of its proper divisors (28130560).

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

21507136 is an equidigital number, since it uses as much as digits as its factorization.

21507136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 21507136 is about 4637.5786785779. The cubic root of 21507136 is about 278.0956488152.

Adding to 21507136 its reverse (63170512), we get a palindrome (84677648).

The spelling of 21507136 in words is "twenty-one million, five hundred seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 787 854 976 1574 1708 1952 3148 3416 3904 5509 6296 6832 11018 12592 13664 22036 25184 27328 44072 48007 50368 88144 96014 176288 192028 336049 352576 384056 672098 768112 1344196 1536224 2688392 3072448 5376784 10753568 21507136