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21012544 = 267173189
BaseRepresentation
bin101000000101…
…0000001000000
31110112112210101
41100022001000
520334400134
62030212144
7343414030
oct120120100
943475711
1021012544
1110952043
127054054
134479277
142b0d8c0
151ca0e14
hex140a040

21012544 has 112 divisors (see below), whose sum is σ = 52669440. Its totient is φ = 8110080.

The previous prime is 21012533. The next prime is 21012569. The reversal of 21012544 is 44521012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236052 + ... + 236140.

Almost surely, 221012544 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 21012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26334720).

21012544 is an abundant number, since it is smaller than the sum of its proper divisors (31656896).

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

21012544 is a wasteful number, since it uses less digits than its factorization.

21012544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 21012544 is about 4583.9441532375. The cubic root of 21012544 is about 275.9473399497.

Adding to 21012544 its reverse (44521012), we get a palindrome (65533556).

The spelling of 21012544 in words is "twenty-one million, twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 89 112 119 124 136 178 217 224 238 248 272 356 434 448 476 496 527 544 623 712 868 952 992 1054 1088 1246 1424 1513 1736 1904 1984 2108 2492 2759 2848 3026 3472 3689 3808 4216 4984 5518 5696 6052 6944 7378 7616 8432 9968 10591 11036 12104 13888 14756 16864 19313 19936 21182 22072 24208 29512 33728 38626 39872 42364 44144 46903 48416 59024 77252 84728 88288 93806 96832 118048 154504 169456 176576 187612 236096 309008 328321 338912 375224 618016 656642 677824 750448 1236032 1313284 1500896 2626568 3001792 5253136 10506272 21012544