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2316026880 = 21032550261
BaseRepresentation
bin1000101000001011…
…1100010000000000
312222102000100121100
42022002330100000
514220400330010
61021452254400
7111251621646
oct21202742000
95872010540
102316026880
11a89378302
12547771400
132aba9700b
1417d841196
15d84da2c0
hex8a0bc400

2316026880 has 132 divisors (see below), whose sum is σ = 8025132492. Its totient is φ = 617594880.

The previous prime is 2316026873. The next prime is 2316026897. The reversal of 2316026880 is 886206132.

2316026880 is a `hidden beast` number, since 2 + 316 + 0 + 268 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 627803136 + 1688223744 = 25056^2 + 41088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20950 + ... + 71210.

Almost surely, 22316026880 is an apocalyptic number.

2316026880 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 2316026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012566246).

2316026880 is an abundant number, since it is smaller than the sum of its proper divisors (5709105612).

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

2316026880 is a wasteful number, since it uses less digits than its factorization.

2316026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50292 (or 50271 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2316026880 is about 48125.1169349229. The cubic root of 2316026880 is about 1323.0650537133.

The spelling of 2316026880 in words is "two billion, three hundred sixteen million, twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 50261 100522 150783 201044 251305 301566 402088 452349 502610 603132 753915 804176 904698 1005220 1206264 1507830 1608352 1809396 2010440 2261745 2412528 3015660 3216704 3618792 4020880 4523490 4825056 6031320 6433408 7237584 8041760 9046980 9650112 12062640 12866816 14475168 16083520 18093960 19300224 24125280 25733632 28950336 32167040 36187920 38600448 48250560 51467264 57900672 64334080 72375840 77200896 96501120 115801344 128668160 144751680 154401792 193002240 231602688 257336320 289503360 386004480 463205376 579006720 772008960 1158013440 2316026880