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2132500 = 2254853
BaseRepresentation
bin1000001000101000010100
311000100020111
420020220110
51021220000
6113412404
724061126
oct10105024
94010214
102132500
1112271a7
1286a104
13598846
143d7216
152c1cba
hex208a14

2132500 has 30 divisors (see below), whose sum is σ = 4668818. Its totient is φ = 852000.

The previous prime is 2132483. The next prime is 2132513. The reversal of 2132500 is 52312.

It can be written as a sum of positive squares in 5 ways, for example, as 1406596 + 725904 = 1186^2 + 852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2074 + ... + 2926.

22132500 is an apocalyptic number.

2132500 is a gapful number since it is divisible by the number (20) 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 2132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334409).

2132500 is an abundant number, since it is smaller than the sum of its proper divisors (2536318).

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

2132500 is an equidigital number, since it uses as much as digits as its factorization.

2132500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2132500 is about 1460.3081866510. The cubic root of 2132500 is about 128.7151537959.

Adding to 2132500 its reverse (52312), we get a palindrome (2184812).

The spelling of 2132500 in words is "two million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 853 1250 1706 2500 3412 4265 8530 17060 21325 42650 85300 106625 213250 426500 533125 1066250 2132500