Search a number
-
+
21871069920 = 2532572169749
BaseRepresentation
bin10100010111100111…
…100000101011100000
32002110020021110122200
4110113213200223200
5324242443214140
614014124533200
71402662012150
oct242747405340
962406243580
1021871069920
1193037155a7
1242a46b1200
1320a721c4bb
1410b69bc760
15880162030
hex5179e0ae0

21871069920 has 144 divisors (see below), whose sum is σ = 85297212000. Its totient is φ = 4999099392.

The previous prime is 21871069877. The next prime is 21871069921. The reversal of 21871069920 is 2996017812.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21871069921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074795 + ... + 1094954.

It is an arithmetic number, because the mean of its divisors is an integer number (592341750).

Almost surely, 221871069920 is an apocalyptic number.

21871069920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21871069920 is an abundant number, since it is smaller than the sum of its proper divisors (63426142080).

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

21871069920 is a wasteful number, since it uses less digits than its factorization.

21871069920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169777 (or 2169766 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21871069920 in words is "twenty-one billion, eight hundred seventy-one million, sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 2169749 4339498 6509247 8678996 10848745 13018494 15188243 17357992 19527741 21697490 26036988 30376486 32546235 34715984 39055482 43394980 45564729 52073976 60752972 65092470 69431968 75941215 78110964 86789960 91129458 97638705 104147952 121505944 130184940 136694187 151882430 156221928 173579920 182258916 195277410 208295904 227823645 243011888 260369880 273388374 303764860 312443856 347159840 364517832 390554820 455647290 486023776 520739760 546776748 607529720 624887712 683470935 729035664 781109640 911294580 1041479520 1093553496 1215059440 1366941870 1458071328 1562219280 1822589160 2187106992 2430118880 2733883740 3124438560 3645178320 4374213984 5467767480 7290356640 10935534960 21871069920