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2013870080 = 21151931019
BaseRepresentation
bin111100000001001…
…0011100000000000
312012100110012101202
41320002103200000
513111022320310
6531500120332
7100622420225
oct17002234000
95170405352
102013870080
11943860442
124825360a8
132612c2601
1415166994c
15bbc023a5
hex78093800

2013870080 has 96 divisors (see below), whose sum is σ = 4861911600. Its totient is φ = 800587776.

The previous prime is 2013870073. The next prime is 2013870091. The reversal of 2013870080 is 800783102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975811 + ... + 1976829.

Almost surely, 22013870080 is an apocalyptic number.

2013870080 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 2013870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430955800).

2013870080 is an abundant number, since it is smaller than the sum of its proper divisors (2848041520).

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

2013870080 is a wasteful number, since it uses less digits than its factorization.

2013870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 2013870080 is about 44876.1638289192. The cubic root of 2013870080 is about 1262.8268771612.

The spelling of 2013870080 in words is "two billion, thirteen million, eight hundred seventy thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 512 640 772 965 1019 1024 1280 1544 1930 2038 2048 2560 3088 3860 4076 5095 5120 6176 7720 8152 10190 10240 12352 15440 16304 20380 24704 30880 32608 40760 49408 61760 65216 81520 98816 123520 130432 163040 196667 197632 247040 260864 326080 393334 395264 494080 521728 652160 786668 983335 988160 1043456 1304320 1573336 1966670 1976320 2086912 2608640 3146672 3933340 5217280 6293344 7866680 10434560 12586688 15733360 25173376 31466720 50346752 62933440 100693504 125866880 201387008 251733760 402774016 503467520 1006935040 2013870080