Search a number
-
+
21198320 = 245111317109
BaseRepresentation
bin101000011011…
…1010111110000
31110212222121222
41100313113300
520411321240
62034204212
7345116453
oct120672760
943788558
1021198320
1110a69680
127123668
1345129b0
142b5b49a
151cdaeb5
hex14375f0

21198320 has 160 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 6635520.

The previous prime is 21198263. The next prime is 21198329. The reversal of 21198320 is 2389112.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 21198320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21198329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194426 + ... + 194534.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 221198320 is an apocalyptic number.

21198320 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 21198320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

21198320 is an abundant number, since it is smaller than the sum of its proper divisors (40672720).

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

21198320 is a wasteful number, since it uses less digits than its factorization.

21198320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 21198320 is about 4604.1633333321. The cubic root of 21198320 is about 276.7581897490.

The spelling of 21198320 in words is "twenty-one million, one hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 65 68 80 85 88 104 109 110 130 136 143 170 176 187 208 218 220 221 260 272 286 340 374 436 440 442 520 545 572 680 715 748 872 880 884 935 1040 1090 1105 1144 1199 1360 1417 1430 1496 1744 1768 1853 1870 2180 2210 2288 2398 2431 2834 2860 2992 3536 3706 3740 4360 4420 4796 4862 5668 5720 5995 7085 7412 7480 8720 8840 9265 9592 9724 11336 11440 11990 12155 14170 14824 14960 15587 17680 18530 19184 19448 20383 22672 23980 24089 24310 28340 29648 31174 37060 38896 40766 47960 48178 48620 56680 62348 74120 77935 81532 95920 96356 97240 101915 113360 120445 124696 148240 155870 163064 192712 194480 203830 240890 249392 264979 311740 326128 385424 407660 481780 529958 623480 815320 963560 1059916 1246960 1324895 1630640 1927120 2119832 2649790 4239664 5299580 10599160 21198320