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2138192 = 247171123
BaseRepresentation
bin1000001010000001010000
311000122001022
420022001100
51021410232
6113455012
724113540
oct10120120
94018038
102138192
111230501
12871468
1359b304
143d9320
152c3812
hex20a050

2138192 has 40 divisors (see below), whose sum is σ = 5017536. Its totient is φ = 861696.

The previous prime is 2138189. The next prime is 2138197. The reversal of 2138192 is 2918312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138197) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1343 + ... + 2465.

22138192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508768).

2138192 is an abundant number, since it is smaller than the sum of its proper divisors (2879344).

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

2138192 is a wasteful number, since it uses less digits than its factorization.

2138192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 2138192 is about 1462.2557915768. The cubic root of 2138192 is about 128.8295728296.

The spelling of 2138192 in words is "two million, one hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1123 1904 2246 4492 7861 8984 15722 17968 19091 31444 38182 62888 76364 125776 133637 152728 267274 305456 534548 1069096 2138192