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2131460 = 225176269
BaseRepresentation
bin1000001000011000000100
311000021210222
420020120010
51021201320
6113403512
724055112
oct10103004
94007728
102131460
111226441
12869598
13598226
143d6ab2
152c1825
hex208604

2131460 has 24 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 802304.

The previous prime is 2131457. The next prime is 2131463. The reversal of 2131460 is 641312.

It is an interprime number because it is at equal distance from previous prime (2131457) and next prime (2131463).

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 1844164 = 536^2 + 1358^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795 + ... + 3474.

It is an arithmetic number, because the mean of its divisors is an integer number (197505).

22131460 is an apocalyptic number.

2131460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131460 is an abundant number, since it is smaller than the sum of its proper divisors (2608660).

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

2131460 is a wasteful number, since it uses less digits than its factorization.

2131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2131460 is about 1459.9520540073. The cubic root of 2131460 is about 128.6942260074.

Adding to 2131460 its reverse (641312), we get a palindrome (2772772).

The spelling of 2131460 in words is "two million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 6269 12538 25076 31345 62690 106573 125380 213146 426292 532865 1065730 2131460