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2132801720 = 235743473769
BaseRepresentation
bin111111100011111…
…1111100010111000
312111122020112221022
41333013333202320
513331444123340
6551345202012
7103565341550
oct17707774270
95448215838
102132801720
119a4a02555
124b6330308
1327cb3416a
14163388160
15c73963b5
hex7f1ff8b8

2132801720 has 128 divisors (see below), whose sum is σ = 5732812800. Its totient is φ = 698858496.

The previous prime is 2132801717. The next prime is 2132801773. The reversal of 2132801720 is 271082312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132801720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563996 + ... + 567764.

It is an arithmetic number, because the mean of its divisors is an integer number (44787600).

Almost surely, 22132801720 is an apocalyptic number.

2132801720 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 2132801720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866406400).

2132801720 is an abundant number, since it is smaller than the sum of its proper divisors (3600011080).

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

2132801720 is a wasteful number, since it uses less digits than its factorization.

2132801720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2132801720 is about 46182.2662934594. The cubic root of 2132801720 is about 1287.2122399595.

The spelling of 2132801720 in words is "two billion, one hundred thirty-two million, eight hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 47 56 70 86 94 140 172 188 215 235 280 301 329 344 376 430 470 602 658 860 940 1204 1316 1505 1645 1720 1880 2021 2408 2632 3010 3290 3769 4042 6020 6580 7538 8084 10105 12040 13160 14147 15076 16168 18845 20210 26383 28294 30152 37690 40420 52766 56588 70735 75380 80840 105532 113176 131915 141470 150760 162067 177143 211064 263830 282940 324134 354286 527660 565880 648268 708572 810335 885715 1055320 1134469 1240001 1296536 1417144 1620670 1771430 2268938 2480002 3241340 3542860 4537876 4960004 5672345 6200005 6482680 7085720 7617149 9075752 9920008 11344690 12400010 15234298 22689380 24800020 30468596 38085745 45378760 49600040 53320043 60937192 76171490 106640086 152342980 213280172 266600215 304685960 426560344 533200430 1066400860 2132801720