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21683640 = 23351116427
BaseRepresentation
bin101001010110…
…1110110111000
31111210122100210
41102231312320
521022334030
62052431120
7352210416
oct122556670
944718323
1021683640
1111270270
1273184a0
134652874
142c462b6
151d84bb0
hex14addb8

21683640 has 64 divisors (see below), whose sum is σ = 70968960. Its totient is φ = 5256320.

The previous prime is 21683611. The next prime is 21683659. The reversal of 21683640 is 4638612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21683598 and 21683607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6894 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (1108890).

Almost surely, 221683640 is an apocalyptic number.

21683640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21683640 is an abundant number, since it is smaller than the sum of its proper divisors (49285320).

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

21683640 is a wasteful number, since it uses less digits than its factorization.

21683640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452 (or 16448 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 21683640 is about 4656.5695527931. The cubic root of 21683640 is about 278.8543323044.

The spelling of 21683640 in words is "twenty-one million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 16427 32854 49281 65708 82135 98562 131416 164270 180697 197124 246405 328540 361394 394248 492810 542091 657080 722788 903485 985620 1084182 1445576 1806970 1971240 2168364 2710455 3613940 4336728 5420910 7227880 10841820 21683640