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21663040 = 265719509
BaseRepresentation
bin101001010100…
…0110101000000
31111202121002211
41102220311000
521021204130
62052151504
7352063360
oct122506500
944677084
1021663040
1111256843
127308594
134646389
142c3c9a0
151d7da2a
hex14a8d40

21663040 has 112 divisors (see below), whose sum is σ = 62179200. Its totient is φ = 7022592.

The previous prime is 21662989. The next prime is 21663041. The reversal of 21663040 is 4036612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21663041) 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, 42306 + ... + 42814.

Almost surely, 221663040 is an apocalyptic number.

21663040 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 21663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31089600).

21663040 is an abundant number, since it is smaller than the sum of its proper divisors (40516160).

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

21663040 is a wasteful number, since it uses less digits than its factorization.

21663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 21663040 is about 4654.3570984616. The cubic root of 21663040 is about 278.7659981300.

Adding to 21663040 its reverse (4036612), we get a palindrome (25699652).

The spelling of 21663040 in words is "twenty-one million, six hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 509 532 560 608 665 760 1018 1064 1120 1216 1330 1520 2036 2128 2240 2545 2660 3040 3563 4072 4256 5090 5320 6080 7126 8144 8512 9671 10180 10640 14252 16288 17815 19342 20360 21280 28504 32576 35630 38684 40720 42560 48355 57008 67697 71260 77368 81440 96710 114016 135394 142520 154736 162880 193420 228032 270788 285040 309472 338485 386840 541576 570080 618944 676970 773680 1083152 1140160 1353940 1547360 2166304 2707880 3094720 4332608 5415760 10831520 21663040