Search a number
-
+
21341880 = 233457941
BaseRepresentation
bin101000101101…
…0011010111000
31111011021120000
41101122122320
520430420010
62041233000
7346255140
oct121323270
944137500
1021341880
111105751a
127192760
134563141
142b97920
151d187c0
hex145a6b8

21341880 has 160 divisors (see below), whose sum is σ = 82067040. Its totient is φ = 4872960.

The previous prime is 21341867. The next prime is 21341897. The reversal of 21341880 is 8814312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22210 + ... + 23150.

It is an arithmetic number, because the mean of its divisors is an integer number (512919).

Almost surely, 221341880 is an apocalyptic number.

21341880 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 21341880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41033520).

21341880 is an abundant number, since it is smaller than the sum of its proper divisors (60725160).

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

21341880 is a wasteful number, since it uses less digits than its factorization.

21341880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

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

The square root of 21341880 is about 4619.7272646770. The cubic root of 21341880 is about 277.3815418434.

The spelling of 21341880 in words is "twenty-one million, three hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 81 84 90 105 108 120 126 135 140 162 168 180 189 210 216 252 270 280 315 324 360 378 405 420 504 540 567 630 648 756 810 840 941 945 1080 1134 1260 1512 1620 1882 1890 2268 2520 2823 2835 3240 3764 3780 4536 4705 5646 5670 6587 7528 7560 8469 9410 11292 11340 13174 14115 16938 18820 19761 22584 22680 25407 26348 28230 32935 33876 37640 39522 42345 50814 52696 56460 59283 65870 67752 76221 79044 84690 98805 101628 112920 118566 127035 131740 152442 158088 169380 177849 197610 203256 237132 254070 263480 296415 304884 338760 355698 381105 395220 474264 508140 533547 592830 609768 711396 762210 790440 889245 1016280 1067094 1185660 1422792 1524420 1778490 2134188 2371320 2667735 3048840 3556980 4268376 5335470 7113960 10670940 21341880