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21706740 = 223251119577
BaseRepresentation
bin101001011001…
…1011111110100
31111211211001100
41102303133310
521024103430
62053130100
7352334646
oct122633764
944754040
1021706740
1111286660
127329930
134660233
142c50896
151d8b960
hex14b37f4

21706740 has 144 divisors (see below), whose sum is σ = 75741120. Its totient is φ = 4976640.

The previous prime is 21706717. The next prime is 21706777. The reversal of 21706740 is 4760712.

It is a super-2 number, since 2×217067402 = 942365122855200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37332 + ... + 37908.

It is an arithmetic number, because the mean of its divisors is an integer number (525980).

Almost surely, 221706740 is an apocalyptic number.

21706740 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 21706740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870560).

21706740 is an abundant number, since it is smaller than the sum of its proper divisors (54034380).

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

21706740 is a wasteful number, since it uses less digits than its factorization.

21706740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 21706740 is about 4659.0492592373. The cubic root of 21706740 is about 278.9533201281.

The spelling of 21706740 in words is "twenty-one million, seven hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 577 627 660 684 836 855 990 1045 1140 1154 1254 1710 1731 1881 1980 2090 2308 2508 2885 3135 3420 3462 3762 4180 5193 5770 6270 6347 6924 7524 8655 9405 10386 10963 11540 12540 12694 17310 18810 19041 20772 21926 25388 25965 31735 32889 34620 37620 38082 43852 51930 54815 57123 63470 65778 76164 95205 98667 103860 109630 114246 120593 126940 131556 164445 190410 197334 219260 228492 241186 285615 328890 361779 380820 394668 482372 493335 571230 602965 657780 723558 986670 1085337 1142460 1205930 1447116 1808895 1973340 2170674 2411860 3617790 4341348 5426685 7235580 10853370 21706740