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2091330432 = 273231157373
BaseRepresentation
bin111110010100111…
…0010101110000000
312101202012121000200
41330221302232000
513240340033212
6543304245200
7102553005162
oct17451625600
95352177020
102091330432
11983557564
124a4470800
13274373a39
1415ba70932
15c39036dc
hex7ca72b80

2091330432 has 192 divisors, whose sum is σ = 6268479360. Its totient is φ = 668528640.

The previous prime is 2091330421. The next prime is 2091330433. The reversal of 2091330432 is 2340331902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 2091330396 and 2091330405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091330433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5606598 + ... + 5606970.

It is an arithmetic number, because the mean of its divisors is an integer number (32648330).

Almost surely, 22091330432 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 2091330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134239680).

2091330432 is an abundant number, since it is smaller than the sum of its proper divisors (4177148928).

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

2091330432 is a wasteful number, since it uses less digits than its factorization.

2091330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2091330432 is about 45731.0663772451. The cubic root of 2091330432 is about 1278.8145013230.

The spelling of 2091330432 in words is "two billion, ninety-one million, three hundred thirty thousand, four hundred thirty-two".