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201320 = 2357719
BaseRepresentation
bin110001001001101000
3101020011022
4301021220
522420240
64152012
71465640
oct611150
9336138
10201320
11128289
1298608
1370832
1453520
153e9b5
hex31268

201320 has 32 divisors (see below), whose sum is σ = 518400. Its totient is φ = 68928.

The previous prime is 201307. The next prime is 201329. The reversal of 201320 is 23102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 201298 and 201307.

It is not an unprimeable number, because it can be changed into a prime (201329) by changing a digit.

201320 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 80 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2201320 is an apocalyptic number.

201320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

201320 is an abundant number, since it is smaller than the sum of its proper divisors (317080).

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

201320 is a wasteful number, since it uses less digits than its factorization.

201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 201320 is about 448.6869732898. The cubic root of 201320 is about 58.6087295331.

Adding to 201320 its reverse (23102), we get a palindrome (224422).

The spelling of 201320 in words is "two hundred one thousand, three hundred twenty", and thus it is an iban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 719 1438 2876 3595 5033 5752 7190 10066 14380 20132 25165 28760 40264 50330 100660 201320