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2113758080 = 275739629
BaseRepresentation
bin111110111111101…
…0110001110000000
312110022102000222022
41331333112032000
513312110224310
6545425101012
7103244435000
oct17577261600
95408360868
102113758080
11995185805
124aba87768
13278bc7135
14160a2c000
15c5883a55
hex7dfd6380

2113758080 has 128 divisors (see below), whose sum is σ = 5893560000. Its totient is φ = 724641792.

The previous prime is 2113758043. The next prime is 2113758103. The reversal of 2113758080 is 808573112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2113758080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214706 + ... + 224334.

Almost surely, 22113758080 is an apocalyptic number.

2113758080 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 2113758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946780000).

2113758080 is an abundant number, since it is smaller than the sum of its proper divisors (3779801920).

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

2113758080 is an frugal number, since it uses more digits than its factorization.

2113758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 2113758080 is about 45975.6248462161. The cubic root of 2113758080 is about 1283.3696371732.

The spelling of 2113758080 in words is "two billion, one hundred thirteen million, seven hundred fifty-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2744 3136 3430 3920 4480 5488 6272 6860 7840 9629 10976 13720 15680 19258 21952 27440 31360 38516 43904 48145 54880 67403 77032 96290 109760 134806 154064 192580 219520 269612 308128 337015 385160 471821 539224 616256 674030 770320 943642 1078448 1232512 1348060 1540640 1887284 2156896 2359105 2696120 3081280 3302747 3774568 4313792 4718210 5392240 6162560 6605494 7549136 8627584 9436420 10784480 13210988 15098272 16513735 18872840 21568960 26421976 30196544 33027470 37745680 43137920 52843952 60393088 66054940 75491360 105687904 132109880 150982720 211375808 264219760 301965440 422751616 528439520 1056879040 2113758080