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21330120 = 2335767379
BaseRepresentation
bin101000101011…
…1100011001000
31111010200102110
41101113203020
520430030440
62041102320
7346205640
oct121274310
944120373
1021330120
11110496a9
1271879a0
13455a996
142b93520
151d15080
hex14578c8

21330120 has 128 divisors (see below), whose sum is σ = 74419200. Its totient is φ = 4790016.

The previous prime is 21330119. The next prime is 21330149. The reversal of 21330120 is 2103312.

21330120 = T35 + T36 + ... + T503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21330096 and 21330105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 56091 + ... + 56469.

It is an arithmetic number, because the mean of its divisors is an integer number (581400).

Almost surely, 221330120 is an apocalyptic number.

21330120 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 21330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37209600).

21330120 is an abundant number, since it is smaller than the sum of its proper divisors (53089080).

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

21330120 is a wasteful number, since it uses less digits than its factorization.

21330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 21330120 is about 4618.4542868800. The cubic root of 21330120 is about 277.3305840355.

Adding to 21330120 its reverse (2103312), we get a palindrome (23433432).

The spelling of 21330120 in words is "twenty-one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 67 70 84 105 120 134 140 168 201 210 268 280 335 379 402 420 469 536 670 758 804 840 938 1005 1137 1340 1407 1516 1608 1876 1895 2010 2274 2345 2653 2680 2814 3032 3752 3790 4020 4548 4690 5306 5628 5685 7035 7580 7959 8040 9096 9380 10612 11256 11370 13265 14070 15160 15918 18760 21224 22740 25393 26530 28140 31836 39795 45480 50786 53060 56280 63672 76179 79590 101572 106120 126965 152358 159180 177751 203144 253930 304716 318360 355502 380895 507860 533253 609432 711004 761790 888755 1015720 1066506 1422008 1523580 1777510 2133012 2666265 3047160 3555020 4266024 5332530 7110040 10665060 21330120