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20321880 = 23352337199
BaseRepresentation
bin100110110000…
…1011001011000
31102020110101020
41031201121120
520200300010
62003322440
7334506315
oct115413130
942213336
1020321880
1110520147
126980420
134296aa7
1429add0c
151bb6470
hex1361658

20321880 has 128 divisors (see below), whose sum is σ = 65664000. Its totient is φ = 5018112.

The previous prime is 20321879. The next prime is 20321893. The reversal of 20321880 is 8812302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20321880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102021 + ... + 102219.

It is an arithmetic number, because the mean of its divisors is an integer number (513000).

Almost surely, 220321880 is an apocalyptic number.

20321880 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 20321880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32832000).

20321880 is an abundant number, since it is smaller than the sum of its proper divisors (45342120).

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

20321880 is a wasteful number, since it uses less digits than its factorization.

20321880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 20321880 is about 4507.9795917905. The cubic root of 20321880 is about 272.8902133390.

The spelling of 20321880 in words is "twenty million, three hundred twenty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 199 222 230 276 296 345 370 398 444 460 552 555 597 690 740 796 851 888 920 995 1110 1194 1380 1480 1592 1702 1990 2220 2388 2553 2760 2985 3404 3980 4255 4440 4577 4776 5106 5970 6808 7363 7960 8510 9154 10212 11940 12765 13731 14726 17020 18308 20424 22089 22885 23880 25530 27462 29452 34040 36616 36815 44178 45770 51060 54924 58904 68655 73630 88356 91540 102120 109848 110445 137310 147260 169349 176712 183080 220890 274620 294520 338698 441780 508047 549240 677396 846745 883560 1016094 1354792 1693490 2032188 2540235 3386980 4064376 5080470 6773960 10160940 20321880