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2147386920 = 2335710492437
BaseRepresentation
bin111111111111110…
…1000011000101000
312112122200120001220
41333333220120220
513344212340140
6553025542040
7104133326160
oct17777503050
95478616056
102147386920
11a02164638
124bb1a4920
13282b6ca63
141652a35a0
15c87c7bd0
hex7ffe8628

2147386920 has 128 divisors (see below), whose sum is σ = 7372512000. Its totient is φ = 490162176.

The previous prime is 2147386883. The next prime is 2147386921. The reversal of 2147386920 is 296837412.

It is a super-2 number, since 2×21473869202 = 9222541168374172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2147386921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879942 + ... + 882378.

It is an arithmetic number, because the mean of its divisors is an integer number (57597750).

Almost surely, 22147386920 is an apocalyptic number.

2147386920 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 2147386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686256000).

2147386920 is an abundant number, since it is smaller than the sum of its proper divisors (5225125080).

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

2147386920 is a wasteful number, since it uses less digits than its factorization.

2147386920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2147386920 is about 46339.9063443162. The cubic root of 2147386920 is about 1290.1397841434.

The spelling of 2147386920 in words is "two billion, one hundred forty-seven million, three hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1049 2098 2437 3147 4196 4874 5245 6294 7311 7343 8392 9748 10490 12185 12588 14622 14686 15735 17059 19496 20980 22029 24370 25176 29244 29372 31470 34118 36555 36715 41960 44058 48740 51177 58488 58744 62940 68236 73110 73430 85295 88116 97480 102354 110145 125880 136472 146220 146860 170590 176232 204708 220290 255885 292440 293720 341180 409416 440580 511770 682360 881160 1023540 2047080 2556413 5112826 7669239 10225652 12782065 15338478 17894891 20451304 25564130 30676956 35789782 38346195 51128260 53684673 61353912 71579564 76692390 89474455 102256520 107369346 143159128 153384780 178948910 214738692 268423365 306769560 357897820 429477384 536846730 715795640 1073693460 2147386920