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82059060 = 22357011951
BaseRepresentation
bin1001110010000…
…01111100110100
312201102000212110
410321001330310
5132001342220
612050451020
72014330146
oct471017464
9181360773
1082059060
1142358206
1223593a70
1314001675
14ac80c96
15730dbe0
hex4e41f34

82059060 has 48 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 21840000.

The previous prime is 82059059. The next prime is 82059079. The reversal of 82059060 is 6095028.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41085 + ... + 43035.

It is an arithmetic number, because the mean of its divisors is an integer number (4796064).

Almost surely, 282059060 is an apocalyptic number.

It is an amenable number.

82059060 is an abundant number, since it is smaller than the sum of its proper divisors (148152012).

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

82059060 is a wasteful number, since it uses less digits than its factorization.

82059060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 82059060 is about 9058.6455941272. The cubic root of 82059060 is about 434.5524264224.

The spelling of 82059060 in words is "eighty-two million, fifty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 701 1402 1951 2103 2804 3505 3902 4206 5853 7010 7804 8412 9755 10515 11706 14020 19510 21030 23412 29265 39020 42060 58530 117060 1367651 2735302 4102953 5470604 6838255 8205906 13676510 16411812 20514765 27353020 41029530 82059060