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82015770 = 23529313041
BaseRepresentation
bin1001110001101…
…11011000011010
312201022211111010
410320313120122
5131444001040
612045514350
72014060014
oct470673032
9181284433
1082015770
1142328731
12235729b6
1313cb7a55
14ac6d1b4
157300e80
hex4e3761a

82015770 has 64 divisors (see below), whose sum is σ = 210263040. Its totient is φ = 20428800.

The previous prime is 82015753. The next prime is 82015777. The reversal of 82015770 is 7751028.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (82015777) 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, 25450 + ... + 28490.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 282015770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82015770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105131520).

82015770 is an abundant number, since it is smaller than the sum of its proper divisors (128247270).

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

82015770 is a wasteful number, since it uses less digits than its factorization.

82015770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111.

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 82015770 is about 9056.2558488594. The cubic root of 82015770 is about 434.4759973905.

Adding to 82015770 its reverse (7751028), we get a palindrome (89766798).

The spelling of 82015770 in words is "eighty-two million, fifteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 31 58 62 87 93 145 155 174 186 290 310 435 465 870 899 930 1798 2697 3041 4495 5394 6082 8990 9123 13485 15205 18246 26970 30410 45615 88189 91230 94271 176378 188542 264567 282813 440945 471355 529134 565626 881890 942710 1322835 1414065 2645670 2733859 2828130 5467718 8201577 13669295 16403154 27338590 41007885 82015770