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82112070 = 23523592017
BaseRepresentation
bin1001110010011…
…10111001000110
312201111201120210
410321032321012
5132010041240
612051540250
72014640535
oct471167106
9181451523
1082112070
1142394017
12235ba686
131401c831
14ac9631c
15731e780
hex4e4ee46

82112070 has 64 divisors (see below), whose sum is σ = 209226240. Its totient is φ = 20579328.

The previous prime is 82112027. The next prime is 82112077. The reversal of 82112070 is 7021128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82112077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39702 + ... + 41718.

It is an arithmetic number, because the mean of its divisors is an integer number (3269160).

Almost surely, 282112070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82112070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613120).

82112070 is an abundant number, since it is smaller than the sum of its proper divisors (127114170).

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

82112070 is a wasteful number, since it uses less digits than its factorization.

82112070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 82112070 is about 9061.5710558379. The cubic root of 82112070 is about 434.6459796330.

Adding to 82112070 its reverse (7021128), we get a palindrome (89133198).

The spelling of 82112070 in words is "eighty-two million, one hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 59 69 115 118 138 177 230 295 345 354 590 690 885 1357 1770 2017 2714 4034 4071 6051 6785 8142 10085 12102 13570 20170 20355 30255 40710 46391 60510 92782 119003 139173 231955 238006 278346 357009 463910 595015 695865 714018 1190030 1391730 1785045 2737069 3570090 5474138 8211207 13685345 16422414 27370690 41056035 82112070