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2106862692 = 2231179281719
BaseRepresentation
bin111110110010100…
…0010110001100100
312102211102201021120
41331211002301210
513303324101232
6545021213540
7103132015554
oct17545026144
95384381246
102106862692
119912a6140
124a97012b0
1327765171c
1415db55164
15c4e7092c
hex7d942c64

2106862692 has 96 divisors (see below), whose sum is σ = 5457715200. Its totient is φ = 627244800.

The previous prime is 2106862687. The next prime is 2106862699. The reversal of 2106862692 is 2962686012.

It is not an unprimeable number, because it can be changed into a prime (2106862699) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2929909 + ... + 2930627.

It is an arithmetic number, because the mean of its divisors is an integer number (56851200).

Almost surely, 22106862692 is an apocalyptic number.

2106862692 is a gapful number since it is divisible by the number (22) 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 2106862692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728857600).

2106862692 is an abundant number, since it is smaller than the sum of its proper divisors (3350852508).

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

2106862692 is a wasteful number, since it uses less digits than its factorization.

2106862692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2106862692 is about 45900.5739833392. The cubic root of 2106862692 is about 1281.9726038101.

The spelling of 2106862692 in words is "two billion, one hundred six million, eight hundred sixty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 132 158 237 281 316 474 562 719 843 869 948 1124 1438 1686 1738 2157 2607 2876 3091 3372 3476 4314 5214 6182 7909 8628 9273 10428 12364 15818 18546 22199 23727 31636 37092 44398 47454 56801 66597 88796 94908 113602 133194 170403 202039 227204 244189 266388 340806 404078 488378 606117 624811 681612 732567 808156 976756 1212234 1249622 1465134 1874433 2222429 2424468 2499244 2930268 3748866 4444858 6667287 7497732 8889716 13334574 15961081 26669148 31922162 47883243 63844324 95766486 175571891 191532972 351143782 526715673 702287564 1053431346 2106862692