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21203072 = 27112372
BaseRepresentation
bin101000011100…
…0100010000000
31110220020010222
41100320202000
520411444242
62034242212
7345136352
oct120704200
943806128
1021203072
1110a72200
127126368
134514bc7
142b5d0d2
151cdc5d2
hex1438880

21203072 has 72 divisors (see below), whose sum is σ = 47718405. Its totient is φ = 9377280.

The previous prime is 21203071. The next prime is 21203099. The reversal of 21203072 is 27030212.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 17106496 + 4096576 = 4136^2 + 2024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3256.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21203072.

It is not an unprimeable number, because it can be changed into a prime (21203071) 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 8 ways as a sum of consecutive naturals, for example, 573038 + ... + 573074.

Almost surely, 221203072 is an apocalyptic number.

21203072 is a gapful number since it is divisible by the number (22) 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 21203072

21203072 is an abundant number, since it is smaller than the sum of its proper divisors (26515333).

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

21203072 is an equidigital number, since it uses as much as digits as its factorization.

21203072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 21203072 is about 4604.6793590868. The cubic root of 21203072 is about 276.7788683791.

Adding to 21203072 its reverse (27030212), we get a palindrome (48233284).

The spelling of 21203072 in words is "twenty-one million, two hundred three thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 148 176 242 296 352 407 484 592 704 814 968 1184 1369 1408 1628 1936 2368 2738 3256 3872 4477 4736 5476 6512 7744 8954 10952 13024 15059 15488 17908 21904 26048 30118 35816 43808 52096 60236 71632 87616 120472 143264 165649 175232 240944 286528 331298 481888 573056 662596 963776 1325192 1927552 2650384 5300768 10601536 21203072