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2106706368 = 2631317131379
BaseRepresentation
bin111110110010001…
…1100100111000000
312102211010202211210
41331210130213000
513303304100433
6545014010120
7103130465034
oct17544344700
95384122753
102106706368
119911a9748
124a9646940
132775c8520
1415db141c4
15c4e3e463
hex7d91c9c0

2106706368 has 224 divisors, whose sum is σ = 6421282560. Its totient is φ = 603832320.

The previous prime is 2106706319. The next prime is 2106706387. The reversal of 2106706368 is 8636076012.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 5558403 + ... + 5558781.

It is an arithmetic number, because the mean of its divisors is an integer number (28666440).

Almost surely, 22106706368 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 2106706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210641280).

2106706368 is an abundant number, since it is smaller than the sum of its proper divisors (4314576192).

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

2106706368 is a wasteful number, since it uses less digits than its factorization.

2106706368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2106706368 is about 45898.8710972285. The cubic root of 2106706368 is about 1281.9408966273.

The spelling of 2106706368 in words is "two billion, one hundred six million, seven hundred six thousand, three hundred sixty-eight".