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21487680 = 26345829
BaseRepresentation
bin101000111111…
…0000001000000
31111102200120000
41101332001000
521000101210
62044320000
7350433204
oct121760100
944380500
1021487680
1111147015
127243000
1345b4606
142bd4b04
151d46ac0
hex147e040

21487680 has 140 divisors (see below), whose sum is σ = 76527660. Its totient is φ = 5723136.

The previous prime is 21487673. The next prime is 21487693. The reversal of 21487680 is 8678412.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 11451456 = 3168^2 + 3384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25506 + ... + 26334.

It is a vampire number, since it can be written as 28807461 (with its own digits).

Almost surely, 221487680 is an apocalyptic number.

21487680 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 21487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38263830).

21487680 is an abundant number, since it is smaller than the sum of its proper divisors (55039980).

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

21487680 is an equidigital number, since it uses as much as digits as its factorization.

21487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 21487680 is about 4635.4805576121. The cubic root of 21487680 is about 278.0117656287.

The spelling of 21487680 in words is "twenty-one million, four hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 829 864 960 1080 1296 1440 1620 1658 1728 2160 2487 2592 2880 3240 3316 4145 4320 4974 5184 6480 6632 7461 8290 8640 9948 12435 12960 13264 14922 16580 19896 22383 24870 25920 26528 29844 33160 37305 39792 44766 49740 53056 59688 66320 67149 74610 79584 89532 99480 111915 119376 132640 134298 149220 159168 179064 198960 223830 238752 265280 268596 298440 335745 358128 397920 447660 477504 537192 596880 671490 716256 795840 895320 1074384 1193760 1342980 1432512 1790640 2148768 2387520 2685960 3581280 4297536 5371920 7162560 10743840 21487680