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21708680 = 2357314161
BaseRepresentation
bin101001011001…
…1111110001000
31111211220201012
41102303332020
521024134210
62053143052
7352343420
oct122637610
944756635
1021708680
1111288064
12732aa88
134661096
142c51480
151d8c305
hex14b3f88

21708680 has 128 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6912000.

The previous prime is 21708671. The next prime is 21708703. The reversal of 21708680 is 8680712.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 355850 + ... + 355910.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 221708680 is an apocalyptic number.

21708680 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 21708680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

21708680 is an abundant number, since it is smaller than the sum of its proper divisors (38287480).

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

21708680 is a wasteful number, since it uses less digits than its factorization.

21708680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 21708680 is about 4659.2574515689. The cubic root of 21708680 is about 278.9616301940.

It can be divided in two parts, 2170 and 8680, that multiplied together give a square (18835600 = 43402).

The spelling of 21708680 in words is "twenty-one million, seven hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 41 56 61 62 70 82 122 124 140 155 164 205 217 244 248 280 287 305 310 328 410 427 434 488 574 610 620 820 854 868 1085 1148 1220 1240 1271 1435 1640 1708 1736 1891 2135 2170 2296 2440 2501 2542 2870 3416 3782 4270 4340 5002 5084 5740 6355 7564 8540 8680 8897 9455 10004 10168 11480 12505 12710 13237 15128 17080 17507 17794 18910 20008 25010 25420 26474 35014 35588 37820 44485 50020 50840 52948 66185 70028 71176 75640 77531 87535 88970 100040 105896 132370 140056 155062 175070 177940 264740 310124 350140 355880 387655 529480 542717 620248 700280 775310 1085434 1550620 2170868 2713585 3101240 4341736 5427170 10854340 21708680