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21131520 = 28355503
BaseRepresentation
bin101000010011…
…1000100000000
31110202120222220
41100213010000
520402202040
62032531040
7344420634
oct120470400
943676886
1021131520
1110a23473
1270b0a80
1344bb477
142b40dc4
151cc62d0
hex1427100

21131520 has 72 divisors (see below), whose sum is σ = 67501056. Its totient is φ = 5634048.

The previous prime is 21131519. The next prime is 21131531. The reversal of 21131520 is 2513112.

It is a super-2 number, since 2×211315202 = 893082275020800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21131520.

It is an unprimeable number.

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, 1089 + ... + 6591.

Almost surely, 221131520 is an apocalyptic number.

21131520 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 21131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33750528).

21131520 is an abundant number, since it is smaller than the sum of its proper divisors (46369536).

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

21131520 is an equidigital number, since it uses as much as digits as its factorization.

21131520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 21131520 is about 4596.9033054873. The cubic root of 21131520 is about 276.4671776890.

Adding to 21131520 its reverse (2513112), we get a palindrome (23644632).

The spelling of 21131520 in words is "twenty-one million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5503 11006 16509 22012 27515 33018 44024 55030 66036 82545 88048 110060 132072 165090 176096 220120 264144 330180 352192 440240 528288 660360 704384 880480 1056576 1320720 1408768 1760960 2113152 2641440 3521920 4226304 5282880 7043840 10565760 21131520