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21132020 = 22571317683
BaseRepresentation
bin101000010011…
…1001011110100
31110202121200102
41100213023310
520402211040
62032533232
7344422250
oct120471364
943677612
1021132020
1110a23888
1270b1218
1344bb770
142b41260
151cc6515
hex14272f4

21132020 has 96 divisors (see below), whose sum is σ = 57915648. Its totient is φ = 6285312.

The previous prime is 21132011. The next prime is 21132061. The reversal of 21132020 is 2023112.

21132020 = 3612 + 3622 + ... + 4792.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21131992 and 21132010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30599 + ... + 31281.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 221132020 is an apocalyptic number.

21132020 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 21132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28957824).

21132020 is an abundant number, since it is smaller than the sum of its proper divisors (36783628).

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

21132020 is a wasteful number, since it uses less digits than its factorization.

21132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 21132020 is about 4596.9576896030. The cubic root of 21132020 is about 276.4693581994.

Adding to 21132020 its reverse (2023112), we get a palindrome (23155132).

The spelling of 21132020 in words is "twenty-one million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 170 182 221 238 260 340 364 442 455 476 595 683 884 910 1105 1190 1366 1547 1820 2210 2380 2732 3094 3415 4420 4781 6188 6830 7735 8879 9562 11611 13660 15470 17758 19124 23222 23905 30940 35516 44395 46444 47810 58055 62153 81277 88790 95620 116110 124306 150943 162554 177580 232220 248612 301886 310765 325108 406385 603772 621530 754715 812770 1056601 1243060 1509430 1625540 2113202 3018860 4226404 5283005 10566010 21132020