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21664860 = 2235727369
BaseRepresentation
bin101001010100…
…1010001011100
31111202200121020
41102221101130
521021233420
62052204140
7352101600
oct122512134
944680536
1021664860
1111258148
127309650
134647159
142c3d500
151d7e340
hex14a945c

21664860 has 72 divisors (see below), whose sum is σ = 70575120. Its totient is φ = 4951296.

The previous prime is 21664849. The next prime is 21664861. The reversal of 21664860 is 6846612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21664861) by changing a digit.

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, 745 + ... + 6624.

It is an arithmetic number, because the mean of its divisors is an integer number (980210).

Almost surely, 221664860 is an apocalyptic number.

21664860 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 21664860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35287560).

21664860 is an abundant number, since it is smaller than the sum of its proper divisors (48910260).

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

21664860 is a wasteful number, since it uses less digits than its factorization.

21664860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7395 (or 7386 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 21664860 is about 4654.5526100797. The cubic root of 21664860 is about 278.7738046660.

The spelling of 21664860 in words is "twenty-one million, six hundred sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 7369 14738 22107 29476 36845 44214 51583 73690 88428 103166 110535 147380 154749 206332 221070 257915 309498 361081 442140 515830 618996 722162 773745 1031660 1083243 1444324 1547490 1805405 2166486 3094980 3610810 4332972 5416215 7221620 10832430 21664860