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672138 = 236461
BaseRepresentation
bin10100100000110001010
31021011000000
42210012022
5133002023
622223430
75466405
oct2440612
91234000
10672138
11419a95
12284b76
131a6c1c
14136d3c
15d4243
hexa418a

672138 has 28 divisors (see below), whose sum is σ = 1514898. Its totient is φ = 223560.

The previous prime is 672137. The next prime is 672143. The reversal of 672138 is 831276.

It can be written as a sum of positive squares in only one way, i.e., 613089 + 59049 = 783^2 + 243^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 672138.

It is not an unprimeable number, because it can be changed into a prime (672131) 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 13 ways as a sum of consecutive naturals, for example, 1228 + ... + 1688.

2672138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757449).

672138 is an abundant number, since it is smaller than the sum of its proper divisors (842760).

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

672138 is an equidigital number, since it uses as much as digits as its factorization.

672138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 672138 is about 819.8402283372. The cubic root of 672138 is about 87.5963781576.

The spelling of 672138 in words is "six hundred seventy-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 461 486 729 922 1383 1458 2766 4149 8298 12447 24894 37341 74682 112023 224046 336069 672138