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2106886264 = 237376591543
BaseRepresentation
bin111110110010100…
…1000100001111000
312102211110220121121
41331211020201320
513303330330024
6545021515024
7103132144360
oct17545104170
95384426547
102106886264
1199131191a
124a9712a74
1327765c382
1415db5d9a0
15c4e778e4
hex7d948878

2106886264 has 64 divisors (see below), whose sum is σ = 4646822400. Its totient is φ = 876645504.

The previous prime is 2106886261. The next prime is 2106886267. The reversal of 2106886264 is 4626886012.

It is an interprime number because it is at equal distance from previous prime (2106886261) and next prime (2106886267).

It is a self number, because there is not a number n which added to its sum of digits gives 2106886264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106886261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364677 + ... + 1366219.

It is an arithmetic number, because the mean of its divisors is an integer number (72606600).

Almost surely, 22106886264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106886264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323411200).

2106886264 is an abundant number, since it is smaller than the sum of its proper divisors (2539936136).

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

2106886264 is a wasteful number, since it uses less digits than its factorization.

2106886264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2106886264 is about 45900.8307550092. The cubic root of 2106886264 is about 1281.9773847807.

The spelling of 2106886264 in words is "two billion, one hundred six million, eight hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 659 1036 1318 1543 2072 2636 3086 4613 5272 6172 9226 10801 12344 18452 21602 24383 36904 43204 48766 57091 86408 97532 114182 170681 195064 228364 341362 399637 456728 682724 799274 1016837 1365448 1598548 2033674 3197096 4067348 7117859 8134696 14235718 28471436 37622969 56942872 75245938 150491876 263360783 300983752 526721566 1053443132 2106886264