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2131590 = 235411733
BaseRepresentation
bin1000001000011010000110
311000021222210
420020122012
51021202330
6113404250
724055356
oct10103206
94007883
102131590
11122654a
12869686
135982c6
143d6b66
152c18b0
hex208686

2131590 has 32 divisors (see below), whose sum is σ = 5243616. Its totient is φ = 554240.

The previous prime is 2131573. The next prime is 2131601. The reversal of 2131590 is 951312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364 + ... + 2096.

It is an arithmetic number, because the mean of its divisors is an integer number (163863).

22131590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621808).

2131590 is an abundant number, since it is smaller than the sum of its proper divisors (3112026).

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

2131590 is a wasteful number, since it uses less digits than its factorization.

2131590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 2131590 is about 1459.9965753384. The cubic root of 2131590 is about 128.6968423532.

The spelling of 2131590 in words is "two million, one hundred thirty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1733 3466 5199 8665 10398 17330 25995 51990 71053 142106 213159 355265 426318 710530 1065795 2131590