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2095786680 = 2335132358411
BaseRepresentation
bin111110011101011…
…0010101010111000
312102001120222211220
41330322302222320
513243010133210
6543543552040
7102635615151
oct17472625270
95361528756
102095786680
11986020609
124a5a5b620
13275274180
1415c4b0928
15c3ed3c70
hex7ceb2ab8

2095786680 has 128 divisors (see below), whose sum is σ = 7065515520. Its totient is φ = 493447680.

The previous prime is 2095786669. The next prime is 2095786691. The reversal of 2095786680 is 866875902.

It is an interprime number because it is at equal distance from previous prime (2095786669) and next prime (2095786691).

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, 6675 + ... + 65085.

It is an arithmetic number, because the mean of its divisors is an integer number (55199340).

Almost surely, 22095786680 is an apocalyptic number.

2095786680 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 2095786680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532757760).

2095786680 is an abundant number, since it is smaller than the sum of its proper divisors (4969728840).

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

2095786680 is a wasteful number, since it uses less digits than its factorization.

2095786680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58461 (or 58457 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 2095786680 is about 45779.7627778913. The cubic root of 2095786680 is about 1279.7221646326.

The spelling of 2095786680 in words is "two billion, ninety-five million, seven hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 58411 116822 175233 233644 292055 350466 467288 584110 700932 759343 876165 1168220 1343453 1401864 1518686 1752330 2278029 2336440 2686906 3037372 3504660 3796715 4030359 4556058 5373812 6074744 6717265 7009320 7593430 8060718 9112116 10747624 11390145 13434530 15186860 16121436 17464889 18224232 20151795 22780290 26869060 30373720 32242872 34929778 40303590 45560580 52394667 53738120 69859556 80607180 87324445 91121160 104789334 139719112 161214360 174648890 209578668 261973335 349297780 419157336 523946670 698595560 1047893340 2095786680