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2124880 = 24526561
BaseRepresentation
bin1000000110110001010000
310222221210021
420012301100
51020444010
6113313224
724026662
oct10066120
93887707
102124880
1112214aa
12865814
13595234
143d4532
152be8da
hex206c50

2124880 has 20 divisors (see below), whose sum is σ = 4940532. Its totient is φ = 849920.

The previous prime is 2124877. The next prime is 2124887. The reversal of 2124880 is 884212.

It can be written as a sum of positive squares in 2 ways, for example, as 1336336 + 788544 = 1156^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124887) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13201 + ... + 13360.

22124880 is an apocalyptic number.

2124880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124880 is an abundant number, since it is smaller than the sum of its proper divisors (2815652).

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

2124880 is a wasteful number, since it uses less digits than its factorization.

2124880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26574 (or 26568 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2124880 is about 1457.6968134698. The cubic root of 2124880 is about 128.5616594576.

The spelling of 2124880 in words is "two million, one hundred twenty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26561 53122 106244 132805 212488 265610 424976 531220 1062440 2124880