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21531072 = 263127883
BaseRepresentation
bin101001000100…
…0100111000000
31111111220002010
41102020213000
521002443242
62045252520
7351003543
oct122104700
944456063
1021531072
1111176682
127264140
1345cb2a4
142c0685a
151d5489c
hex14889c0

21531072 has 56 divisors (see below), whose sum is σ = 57481216. Its totient is φ = 7112448.

The previous prime is 21531071. The next prime is 21531101. The reversal of 21531072 is 27013512.

It is a super-2 number, since 2×215310722 = 927174122938368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21531071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23943 + ... + 24825.

Almost surely, 221531072 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 21531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740608).

21531072 is an abundant number, since it is smaller than the sum of its proper divisors (35950144).

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

21531072 is a wasteful number, since it uses less digits than its factorization.

21531072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 21531072 is about 4640.1586179785. The cubic root of 21531072 is about 278.1987778351.

Adding to 21531072 its reverse (27013512), we get a palindrome (48544584).

The spelling of 21531072 in words is "twenty-one million, five hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 883 1016 1524 1766 2032 2649 3048 3532 4064 5298 6096 7064 8128 10596 12192 14128 21192 24384 28256 42384 56512 84768 112141 169536 224282 336423 448564 672846 897128 1345692 1794256 2691384 3588512 5382768 7177024 10765536 21531072