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21082680 = 23375241
BaseRepresentation
bin101000001101…
…1001000111000
31110200010000000
41100123020320
520344121210
62031513000
7344125353
oct120331070
943603000
1021082680
111099a803
127088760
1344a2178
142b2b29a
151cb6ac0
hex141b238

21082680 has 128 divisors (see below), whose sum is σ = 71438400. Its totient is φ = 5598720.

The previous prime is 21082673. The next prime is 21082687. The reversal of 21082680 is 8628012.

It is an interprime number because it is at equal distance from previous prime (21082673) and next prime (21082687).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21082687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87360 + ... + 87600.

Almost surely, 221082680 is an apocalyptic number.

21082680 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 21082680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35719200).

21082680 is an abundant number, since it is smaller than the sum of its proper divisors (50355720).

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

21082680 is an equidigital number, since it uses as much as digits as its factorization.

21082680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21082680 is about 4591.5879606080. The cubic root of 21082680 is about 276.2540194470.

The spelling of 21082680 in words is "twenty-one million, eighty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 241 243 270 324 360 405 482 486 540 648 723 729 810 964 972 1080 1205 1215 1446 1458 1620 1928 1944 2169 2187 2410 2430 2892 2916 3240 3615 3645 4338 4374 4820 4860 5784 5832 6507 7230 7290 8676 8748 9640 9720 10845 10935 13014 14460 14580 17352 17496 19521 21690 21870 26028 28920 29160 32535 39042 43380 43740 52056 58563 65070 78084 86760 87480 97605 117126 130140 156168 175689 195210 234252 260280 292815 351378 390420 468504 527067 585630 702756 780840 878445 1054134 1171260 1405512 1756890 2108268 2342520 2635335 3513780 4216536 5270670 7027560 10541340 21082680