Search a number
-
+
20914320 = 2435759211
BaseRepresentation
bin100111111001…
…0000010010000
31110100120001110
41033302002100
520323224240
62024133320
7342524460
oct117620220
943316043
1020914320
1110895269
127007240
13444364b
142ac5ba0
151c81c80
hex13f2090

20914320 has 160 divisors (see below), whose sum is σ = 75709440. Its totient is φ = 4677120.

The previous prime is 20914319. The next prime is 20914321. The reversal of 20914320 is 2341902.

It is an interprime number because it is at equal distance from previous prime (20914319) and next prime (20914321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (20914321) 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, 99015 + ... + 99225.

It is an arithmetic number, because the mean of its divisors is an integer number (473184).

Almost surely, 220914320 is an apocalyptic number.

20914320 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 20914320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37854720).

20914320 is an abundant number, since it is smaller than the sum of its proper divisors (54795120).

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

20914320 is a wasteful number, since it uses less digits than its factorization.

20914320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20914320 is about 4573.2176856126. The cubic root of 20914320 is about 275.5166924997.

The spelling of 20914320 in words is "twenty million, nine hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 59 60 70 80 84 105 112 118 120 140 168 177 210 211 236 240 280 295 336 354 413 420 422 472 560 590 633 708 826 840 844 885 944 1055 1180 1239 1266 1416 1477 1652 1680 1688 1770 2065 2110 2360 2478 2532 2832 2954 3165 3304 3376 3540 4130 4220 4431 4720 4956 5064 5908 6195 6330 6608 7080 7385 8260 8440 8862 9912 10128 11816 12390 12449 12660 14160 14770 16520 16880 17724 19824 22155 23632 24780 24898 25320 29540 33040 35448 37347 44310 49560 49796 50640 59080 62245 70896 74694 87143 88620 99120 99592 118160 124490 149388 174286 177240 186735 199184 248980 261429 298776 348572 354480 373470 435715 497960 522858 597552 697144 746940 871430 995920 1045716 1307145 1394288 1493880 1742860 2091432 2614290 2987760 3485720 4182864 5228580 6971440 10457160 20914320