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301020 = 223529173
BaseRepresentation
bin1001001011111011100
3120021220220
41021133130
534113040
610241340
72362416
oct1113734
9507826
10301020
11196185
12126250
13a7025
147b9b6
155e2d0
hex497dc

301020 has 48 divisors (see below), whose sum is σ = 876960. Its totient is φ = 77056.

The previous prime is 301013. The next prime is 301027. The reversal of 301020 is 20103.

It is an interprime number because it is at equal distance from previous prime (301013) and next prime (301027).

It is a super-2 number, since 2×3010202 = 181226080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301027) by changing a digit.

301020 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654 + ... + 1826.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2301020 is an apocalyptic number.

301020 is a gapful number since it is divisible by the number (30) 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 301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438480).

301020 is an abundant number, since it is smaller than the sum of its proper divisors (575940).

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

301020 is a wasteful number, since it uses less digits than its factorization.

301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 301020 is about 548.6528957365. The cubic root of 301020 is about 67.0190782530.

Adding to 301020 its reverse (20103), we get a palindrome (321123).

The spelling of 301020 in words is "three hundred one thousand, twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 173 174 290 346 348 435 519 580 692 865 870 1038 1730 1740 2076 2595 3460 5017 5190 10034 10380 15051 20068 25085 30102 50170 60204 75255 100340 150510 301020