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21045120 = 273597113
BaseRepresentation
bin101000001000…
…1111110000000
31110121012110220
41100101332000
520341420440
62031023040
7343611015
oct120217600
943535426
1021045120
1110974568
12706aa80
13448b045
142b1b70c
151caa8d0
hex1411f80

21045120 has 128 divisors (see below), whose sum is σ = 68372640. Its totient is φ = 5505024.

The previous prime is 21045109. The next prime is 21045127. The reversal of 21045120 is 2154012.

It is a tau number, because it is divible by the number of its divisors (128).

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 21045120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21045127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186184 + ... + 186296.

Almost surely, 221045120 is an apocalyptic number.

21045120 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 21045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34186320).

21045120 is an abundant number, since it is smaller than the sum of its proper divisors (47327520).

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

21045120 is a wasteful number, since it uses less digits than its factorization.

21045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 21045120 is about 4587.4960490446. The cubic root of 21045120 is about 276.0898678156.

Adding to 21045120 its reverse (2154012), we get a palindrome (23199132).

The spelling of 21045120 in words is "twenty-one million, forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 113 120 128 160 192 194 226 240 291 320 339 384 388 452 480 485 565 582 640 678 776 904 960 970 1130 1164 1356 1455 1552 1695 1808 1920 1940 2260 2328 2712 2910 3104 3390 3616 3880 4520 4656 5424 5820 6208 6780 7232 7760 9040 9312 10848 10961 11640 12416 13560 14464 15520 18080 18624 21696 21922 23280 27120 31040 32883 36160 37248 43392 43844 46560 54240 54805 62080 65766 72320 87688 93120 108480 109610 131532 164415 175376 186240 216960 219220 263064 328830 350752 438440 526128 657660 701504 876880 1052256 1315320 1403008 1753760 2104512 2630640 3507520 4209024 5261280 7015040 10522560 21045120