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2125374 = 231767311
BaseRepresentation
bin1000000110111000111110
310222222110120
420012320332
51021002444
6113315410
724031266
oct10067076
93888416
102125374
111221909
12865b66
13595524
143d47a6
152beb19
hex206e3e

2125374 has 32 divisors (see below), whose sum is σ = 4582656. Its totient is φ = 654720.

The previous prime is 2125373. The next prime is 2125393. The reversal of 2125374 is 4735212.

2125374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 213 + 1 + 221 + 55 + 34 + 75 + 42 .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679 + ... + 6989.

It is an arithmetic number, because the mean of its divisors is an integer number (143208).

22125374 is an apocalyptic number.

2125374 is an abundant number, since it is smaller than the sum of its proper divisors (2457282).

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

2125374 is a wasteful number, since it uses less digits than its factorization.

2125374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400.

The product of its digits is 1680, while the sum is 24.

The square root of 2125374 is about 1457.8662490091. The cubic root of 2125374 is about 128.5716215165.

The spelling of 2125374 in words is "two million, one hundred twenty-five thousand, three hundred seventy-four".

Divisors: 1 2 3 6 17 34 51 67 102 134 201 311 402 622 933 1139 1866 2278 3417 5287 6834 10574 15861 20837 31722 41674 62511 125022 354229 708458 1062687 2125374