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2131400 = 235210657
BaseRepresentation
bin1000001000010111001000
311000021201202
420020113020
51021201100
6113403332
724054665
oct10102710
94007652
102131400
111226397
12869548
135981ab
143d6a6c
152c17d5
hex2085c8

2131400 has 24 divisors (see below), whose sum is σ = 4955970. Its totient is φ = 852480.

The previous prime is 2131399. The next prime is 2131417. The reversal of 2131400 is 41312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1012036 + 1119364 = 1006^2 + 1058^2 .

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 5 ways as a sum of consecutive naturals, for example, 5129 + ... + 5528.

22131400 is an apocalyptic number.

2131400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131400 is an abundant number, since it is smaller than the sum of its proper divisors (2824570).

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

2131400 is a wasteful number, since it uses less digits than its factorization.

2131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2131400 is about 1459.9315052426. The cubic root of 2131400 is about 128.6930184273.

Adding to 2131400 its reverse (41312), we get a palindrome (2172712).

The spelling of 2131400 in words is "two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10657 21314 42628 53285 85256 106570 213140 266425 426280 532850 1065700 2131400