Search a number
-
+
21874860 = 223557643
BaseRepresentation
bin101001101110…
…0100010101100
31112011100200000
41103130202230
521044443420
62100504300
7353635050
oct123344254
945140600
1021874860
11113909a7
1273ab090
1346bb907
142c95c60
151dc1690
hex14dc8ac

21874860 has 144 divisors (see below), whose sum is σ = 78763776. Its totient is φ = 4992192.

The previous prime is 21874843. The next prime is 21874891. The reversal of 21874860 is 6847812.

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 47 ways as a sum of consecutive naturals, for example, 33699 + ... + 34341.

Almost surely, 221874860 is an apocalyptic number.

21874860 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 21874860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39381888).

21874860 is an abundant number, since it is smaller than the sum of its proper divisors (56888916).

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

21874860 is a wasteful number, since it uses less digits than its factorization.

21874860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

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

The square root of 21874860 is about 4677.0567668139. The cubic root of 21874860 is about 279.6716388850.

It can be divided in two parts, 218 and 74860, that added together give a triangular number (75078 = T387).

The spelling of 21874860 in words is "twenty-one million, eight hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 643 756 810 945 972 1134 1215 1260 1286 1620 1701 1890 1929 2268 2430 2572 2835 3215 3402 3780 3858 4501 4860 5670 5787 6430 6804 7716 8505 9002 9645 11340 11574 12860 13503 17010 17361 18004 19290 22505 23148 27006 28935 34020 34722 38580 40509 45010 52083 54012 57870 67515 69444 81018 86805 90020 104166 115740 121527 135030 156249 162036 173610 202545 208332 243054 260415 270060 312498 347220 364581 405090 486108 520830 607635 624996 729162 781245 810180 1041660 1093743 1215270 1458324 1562490 1822905 2187486 2430540 3124980 3645810 4374972 5468715 7291620 10937430 21874860