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BaseRepresentation
bin1000001000011010010000
311000022000011
420020122100
51021202400
6113404304
724055402
oct10103220
94008004
102131600
111226559
12869694
13598303
143d6b72
152c18ba
hex208690

2131600 has 45 divisors (see below), whose sum is σ = 5192283. Its totient is φ = 840960.

The previous prime is 2131573. The next prime is 2131601. The reversal of 2131600 is 61312.

The square root of 2131600 is 1460.

It is a perfect power (a square), and thus also a powerful number.

2131600 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 2119936 = 108^2 + 1456^2 .

It is an Ulam number.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2131601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29164 + ... + 29236.

22131600 is an apocalyptic number.

2131600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2131600 is the 1460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131600

2131600 is an abundant number, since it is smaller than the sum of its proper divisors (3060683).

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

2131600 is an equidigital number, since it uses as much as digits as its factorization.

2131600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 2131600 is about 128.6970436061.

Multiplying 2131600 by its product of nonzero digits (36), we get a square (76737600 = 87602).

Adding to 2131600 its reverse (61312), we get a palindrome (2192912).

The spelling of 2131600 in words is "two million, one hundred thirty-one thousand, six hundred".