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8035220 = 2251723633
BaseRepresentation
bin11110101001101110010100
3120010020020202
4132221232110
54024111340
6444120032
7125204204
oct36515624
916106222
108035220
114598a86
122836018
13188448b
1410d2404
15a8ac15
hex7a9b94

8035220 has 24 divisors (see below), whose sum is σ = 17867304. Its totient is φ = 3024896.

The previous prime is 8035213. The next prime is 8035229. The reversal of 8035220 is 225308.

It can be written as a sum of positive squares in 4 ways, for example, as 3429904 + 4605316 = 1852^2 + 2146^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8035192 and 8035201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8035229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11477 + ... + 12156.

It is an arithmetic number, because the mean of its divisors is an integer number (744471).

Almost surely, 28035220 is an apocalyptic number.

It is an amenable number.

8035220 is an abundant number, since it is smaller than the sum of its proper divisors (9832084).

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

8035220 is a wasteful number, since it uses less digits than its factorization.

8035220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659 (or 23657 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8035220 is about 2834.6463624234. The cubic root of 8035220 is about 200.2930703391.

The spelling of 8035220 in words is "eight million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 23633 47266 94532 118165 236330 401761 472660 803522 1607044 2008805 4017610 8035220