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2138464 = 25173931
BaseRepresentation
bin1000001010000101100000
311000122102101
420022011200
51021412324
6113500144
724114406
oct10120540
94018371
102138464
111230729
12871654
1359b483
143d9476
152c3944
hex20a160

2138464 has 24 divisors (see below), whose sum is σ = 4458888. Its totient is φ = 1006080.

The previous prime is 2138429. The next prime is 2138467. The reversal of 2138464 is 4648312.

It is a d-powerful number, because it can be written as 211 + 1 + 313 + 8 + 4 + 67 + 49 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 2509.

It is an arithmetic number, because the mean of its divisors is an integer number (185787).

22138464 is an apocalyptic number.

It is an amenable number.

2138464 is an abundant number, since it is smaller than the sum of its proper divisors (2320424).

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

2138464 is a wasteful number, since it uses less digits than its factorization.

2138464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3950 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 2138464 is about 1462.3487956025. The cubic root of 2138464 is about 128.8350354133.

The spelling of 2138464 in words is "two million, one hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3931 7862 15724 31448 62896 66827 125792 133654 267308 534616 1069232 2138464