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2107865088 = 21132717312
BaseRepresentation
bin111110110100011…
…0111100000000000
312102220022122022100
41331220313200000
513304103140323
6545054510400
7103143362160
oct17550674000
95386278270
102107865088
1199192026a
124a9b05400
13277912a64
1415dd365a0
15c50bc943
hex7da37800

2107865088 has 432 divisors, whose sum is σ = 7612179120. Its totient is φ = 548536320.

The previous prime is 2107865069. The next prime is 2107865129. The reversal of 2107865088 is 8805687012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67995633 + ... + 67995663.

It is an arithmetic number, because the mean of its divisors is an integer number (17620785).

Almost surely, 22107865088 is an apocalyptic number.

2107865088 is a gapful number since it is divisible by the number (28) 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 2107865088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806089560).

2107865088 is an abundant number, since it is smaller than the sum of its proper divisors (5504314032).

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

2107865088 is a wasteful number, since it uses less digits than its factorization.

2107865088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 2107865088 is about 45911.4918947315. The cubic root of 2107865088 is about 1282.1758824372.

The spelling of 2107865088 in words is "two billion, one hundred seven million, eight hundred sixty-five thousand, eighty-eight".