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2138328 = 2332171747
BaseRepresentation
bin1000001010000011011000
311000122020100
420022003120
51021411303
6113455400
724114123
oct10120330
94018210
102138328
111230615
12871560
1359b3aa
143d93ba
152c38a3
hex20a0d8

2138328 has 48 divisors (see below), whose sum is σ = 6135480. Its totient is φ = 670464.

The previous prime is 2138327. The next prime is 2138363. The reversal of 2138328 is 8238312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138321) 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 11 ways as a sum of consecutive naturals, for example, 351 + ... + 2097.

22138328 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 2138328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067740).

2138328 is an abundant number, since it is smaller than the sum of its proper divisors (3997152).

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

2138328 is a wasteful number, since it uses less digits than its factorization.

2138328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1769 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2138328 is about 1462.3022943290. The cubic root of 2138328 is about 128.8323041793.

The spelling of 2138328 in words is "two million, one hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1747 3494 5241 6988 10482 13976 15723 20964 29699 31446 41928 59398 62892 89097 118796 125784 178194 237592 267291 356388 534582 712776 1069164 2138328