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2138928 = 243114051
BaseRepresentation
bin1000001010001100110000
311000200001120
420022030300
51021421203
6113502240
724115641
oct10121460
94020046
102138928
111231010
12871980
1359b74c
143d96c8
152c3b53
hex20a330

2138928 has 40 divisors (see below), whose sum is σ = 6029376. Its totient is φ = 648000.

The previous prime is 2138909. The next prime is 2138971. The reversal of 2138928 is 8298312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1498 + ... + 2553.

22138928 is an apocalyptic number.

It is an amenable number.

2138928 is an abundant number, since it is smaller than the sum of its proper divisors (3890448).

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

2138928 is a wasteful number, since it uses less digits than its factorization.

With its successor (2138929) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (4067).

2138928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4067 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2138928 is about 1462.5074358785. The cubic root of 2138928 is about 128.8443528694.

The spelling of 2138928 in words is "two million, one hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4051 8102 12153 16204 24306 32408 44561 48612 64816 89122 97224 133683 178244 194448 267366 356488 534732 712976 1069464 2138928