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82062020 = 2255377417
BaseRepresentation
bin1001110010000…
…10101011000100
312201102011221002
410321002223010
5132001441040
612050512432
72014341605
oct471025304
9181364832
1082062020
114235a457
1223595718
1314002b11
14ac81dac
15730ea15
hex4e42ac4

82062020 has 24 divisors (see below), whose sum is σ = 175584024. Its totient is φ = 32205056.

The previous prime is 82061989. The next prime is 82062023. The reversal of 82062020 is 2026028.

It can be written as a sum of positive squares in 4 ways, for example, as 14032516 + 68029504 = 3746^2 + 8248^2 .

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 = 82061983 and 82062001.

It is not an unprimeable number, because it can be changed into a prime (82062023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37649 + ... + 39768.

It is an arithmetic number, because the mean of its divisors is an integer number (7316001).

Almost surely, 282062020 is an apocalyptic number.

It is an amenable number.

82062020 is an abundant number, since it is smaller than the sum of its proper divisors (93522004).

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

82062020 is a wasteful number, since it uses less digits than its factorization.

82062020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77479 (or 77477 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 82062020 is about 9058.8089724864. The cubic root of 82062020 is about 434.5576513572.

Adding to 82062020 its reverse (2026028), we get a palindrome (84088048).

The spelling of 82062020 in words is "eighty-two million, sixty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 77417 154834 309668 387085 774170 1548340 4103101 8206202 16412404 20515505 41031010 82062020