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21644420 = 22571979103
BaseRepresentation
bin101001010010…
…0010010000100
31111201122120012
41102210102010
521020110140
62051525352
7351655160
oct122442204
944648505
1021644420
1111243856
1272b9858
13463aa65
142c35ca0
151d78265
hex14a4484

21644420 has 96 divisors (see below), whose sum is σ = 55910400. Its totient is φ = 6873984.

The previous prime is 21644419. The next prime is 21644423. The reversal of 21644420 is 2444612.

21644420 = 5882 + 5892 + ... + 6442.

It is not an unprimeable number, because it can be changed into a prime (21644423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210089 + ... + 210191.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 221644420 is an apocalyptic number.

21644420 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 21644420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27955200).

21644420 is an abundant number, since it is smaller than the sum of its proper divisors (34265980).

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

21644420 is a wasteful number, since it uses less digits than its factorization.

21644420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 21644420 is about 4652.3563921952. The cubic root of 21644420 is about 278.6861061302.

The spelling of 21644420 in words is "twenty-one million, six hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 79 95 103 133 140 158 190 206 266 316 380 395 412 515 532 553 665 721 790 1030 1106 1330 1442 1501 1580 1957 2060 2212 2660 2765 2884 3002 3605 3914 5530 6004 7210 7505 7828 8137 9785 10507 11060 13699 14420 15010 16274 19570 21014 27398 30020 32548 39140 40685 42028 52535 54796 56959 68495 81370 105070 113918 136990 154603 162740 210140 227836 273980 284795 309206 569590 618412 773015 1082221 1139180 1546030 2164442 3092060 4328884 5411105 10822210 21644420