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8132020 = 2251331277
BaseRepresentation
bin11111000001010110110100
3120022011000221
4133001112310
54040211040
6450144124
7126056341
oct37012664
916264027
108132020
114654786
122882044
1318b9560
1411197c8
15aa974a
hex7c15b4

8132020 has 24 divisors (see below), whose sum is σ = 18391464. Its totient is φ = 3002496.

The previous prime is 8132017. The next prime is 8132027. The reversal of 8132020 is 202318.

Adding to 8132020 its reverse (202318), we get a palindrome (8334338).

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 7907344 = 474^2 + 2812^2 .

It is a super-2 number, since 2×81320202 = 132259498560800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8131985 and 8132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8132027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15379 + ... + 15898.

It is an arithmetic number, because the mean of its divisors is an integer number (766311).

Almost surely, 28132020 is an apocalyptic number.

It is an amenable number.

8132020 is an abundant number, since it is smaller than the sum of its proper divisors (10259444).

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

8132020 is a wasteful number, since it uses less digits than its factorization.

8132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31299 (or 31297 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 8132020 is about 2851.6696863417. The cubic root of 8132020 is about 201.0941697136.

The spelling of 8132020 in words is "eight million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 31277 62554 125108 156385 312770 406601 625540 813202 1626404 2033005 4066010 8132020