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2106901368 = 233511213253
BaseRepresentation
bin111110110010100…
…1100001101111000
312102211111200100000
41331211030031320
513303331320433
6545022113000
7103132236405
oct17545141570
95384450300
102106901368
11991322200
124a971b760
13277666200
1415db652ac
15c4e7c113
hex7d94c378

2106901368 has 432 divisors, whose sum is σ = 7176110760. Its totient is φ = 578223360.

The previous prime is 2106901351. The next prime is 2106901373. The reversal of 2106901368 is 8631096012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 39752830 + ... + 39752882.

Almost surely, 22106901368 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 2106901368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588055380).

2106901368 is an abundant number, since it is smaller than the sum of its proper divisors (5069209392).

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

2106901368 is a wasteful number, since it uses less digits than its factorization.

2106901368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2106901368 is about 45900.9952833269. The cubic root of 2106901368 is about 1281.9804482177.

The spelling of 2106901368 in words is "two billion, one hundred six million, nine hundred one thousand, three hundred sixty-eight".