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2130144 = 25322189
BaseRepresentation
bin1000001000000011100000
311000020000020
420020003200
51021131034
6113353440
724051222
oct10100340
94006006
102130144
111225455
12868880
13597753
143d6412
152c1249
hex2080e0

2130144 has 24 divisors (see below), whose sum is σ = 5591880. Its totient is φ = 710016.

The previous prime is 2130133. The next prime is 2130169. The reversal of 2130144 is 4410312.

2130144 = 1502 + 1512 + ... + 2132.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 10999 + ... + 11190.

It is an arithmetic number, because the mean of its divisors is an integer number (232995).

22130144 is an apocalyptic number.

2130144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2130144 is an abundant number, since it is smaller than the sum of its proper divisors (3461736).

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

2130144 is a wasteful number, since it uses less digits than its factorization.

2130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202 (or 22194 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2130144 is about 1459.5012846860. The cubic root of 2130144 is about 128.6677345463.

Adding to 2130144 its reverse (4410312), we get a palindrome (6540456).

The spelling of 2130144 in words is "two million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22189 44378 66567 88756 133134 177512 266268 355024 532536 710048 1065072 2130144