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21166520 = 2352971257
BaseRepresentation
bin101000010111…
…1100110111000
31110211101000012
41100233212320
520404312040
62033401052
7344624654
oct120574670
943741005
1021166520
1110a477a1
127109188
13450138b
142b4da64
151cd1865
hex142f9b8

21166520 has 64 divisors (see below), whose sum is σ = 50155200. Its totient is φ = 8028160.

The previous prime is 21166517. The next prime is 21166529. The reversal of 21166520 is 2566112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21166529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82232 + ... + 82488.

It is an arithmetic number, because the mean of its divisors is an integer number (783675).

Almost surely, 221166520 is an apocalyptic number.

21166520 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 21166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25077600).

21166520 is an abundant number, since it is smaller than the sum of its proper divisors (28988680).

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

21166520 is a wasteful number, since it uses less digits than its factorization.

21166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 21166520 is about 4600.7086410682. The cubic root of 21166520 is about 276.6197304291.

The spelling of 21166520 in words is "twenty-one million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 71 116 142 145 232 257 284 290 355 514 568 580 710 1028 1160 1285 1420 2056 2059 2570 2840 4118 5140 7453 8236 10280 10295 14906 16472 18247 20590 29812 36494 37265 41180 59624 72988 74530 82360 91235 145976 149060 182470 298120 364940 529163 729880 1058326 2116652 2645815 4233304 5291630 10583260 21166520