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21053032 = 23711213239
BaseRepresentation
bin101000001001…
…1111001101000
31110121121022221
41100103321220
520342144112
62031123424
7343643050
oct120237150
943547287
1021053032
111097a500
127073574
134491820
142b20560
151cace07
hex1413e68

21053032 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 7539840.

The previous prime is 21053017. The next prime is 21053041. The reversal of 21053032 is 23035012.

It is a junction number, because it is equal to n+sod(n) for n = 21052997 and 21053015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87969 + ... + 88207.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 221053032 is an apocalyptic number.

21053032 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 21053032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

21053032 is an abundant number, since it is smaller than the sum of its proper divisors (32572568).

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

21053032 is a wasteful number, since it uses less digits than its factorization.

21053032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 21053032 is about 4588.3583120763. The cubic root of 21053032 is about 276.1244625236.

Adding to 21053032 its reverse (23035012), we get a palindrome (44088044).

The spelling of 21053032 in words is "twenty-one million, fifty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 239 242 286 308 364 478 484 572 616 728 847 956 968 1001 1144 1573 1673 1694 1912 2002 2629 3107 3146 3346 3388 4004 5258 6214 6292 6692 6776 8008 10516 11011 12428 12584 13384 18403 21032 21749 22022 24856 28919 34177 36806 43498 44044 57838 68354 73612 86996 88088 115676 136708 147224 173992 202433 231352 239239 273416 375947 404866 478478 751894 809732 956956 1503788 1619464 1913912 2631629 3007576 5263258 10526516 21053032