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2135320880 = 245711231513
BaseRepresentation
bin111111101000110…
…0110100100110000
312111210222112120112
41333101212210300
513333120232010
6551515200452
7103625633210
oct17721464460
95453875515
102135320880
119a6373200
124b7146128
132805069a4
14163842240
15c76e2a05
hex7f466930

2135320880 has 120 divisors (see below), whose sum is σ = 6236746656. Its totient is φ = 665533440.

The previous prime is 2135320879. The next prime is 2135320903. The reversal of 2135320880 is 880235312.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52004 + ... + 83516.

Almost surely, 22135320880 is an apocalyptic number.

2135320880 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 2135320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118373328).

2135320880 is an abundant number, since it is smaller than the sum of its proper divisors (4101425776).

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

2135320880 is a wasteful number, since it uses less digits than its factorization.

2135320880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31555 (or 31538 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 2135320880 is about 46209.5323499384. The cubic root of 2135320880 is about 1287.7188377193.

The spelling of 2135320880 in words is "two billion, one hundred thirty-five million, three hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 385 440 484 560 605 616 770 847 880 968 1210 1232 1540 1694 1936 2420 3080 3388 4235 4840 6160 6776 8470 9680 13552 16940 31513 33880 63026 67760 126052 157565 220591 252104 315130 346643 441182 504208 630260 693286 882364 1102955 1260520 1386572 1733215 1764728 2205910 2426501 2521040 2773144 3466430 3529456 3813073 4411820 4853002 5546288 6932860 7626146 8823640 9706004 12132505 13865720 15252292 17647280 19065365 19412008 24265010 26691511 27731440 30504584 38130730 38824016 48530020 53383022 61009168 76261460 97060040 106766044 133457555 152522920 194120080 213532088 266915110 305045840 427064176 533830220 1067660440 2135320880