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82370860 = 225111383347
BaseRepresentation
bin1001110100011…
…10000100101100
312201222212120121
410322032010230
5132041331420
612101254324
72020066165
oct472160454
9181885517
1082370860
11425504a0
12237043a4
13140b0570
14ad2276c
1573712aa
hex4e8e12c

82370860 has 96 divisors (see below), whose sum is σ = 206260992. Its totient is φ = 27237120.

The previous prime is 82370819. The next prime is 82370867. The reversal of 82370860 is 6807328.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (82370867) 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, 237207 + ... + 237553.

It is an arithmetic number, because the mean of its divisors is an integer number (2148552).

Almost surely, 282370860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82370860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103130496).

82370860 is an abundant number, since it is smaller than the sum of its proper divisors (123890132).

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

82370860 is a wasteful number, since it uses less digits than its factorization.

82370860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 82370860 is about 9075.8393551230. The cubic root of 82370860 is about 435.1021207373.

The spelling of 82370860 in words is "eighty-two million, three hundred seventy thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 83 110 130 143 166 220 260 286 332 347 415 572 694 715 830 913 1079 1388 1430 1660 1735 1826 2158 2860 3470 3652 3817 4316 4511 4565 5395 6940 7634 9022 9130 10790 11869 15268 18044 18260 19085 21580 22555 23738 28801 38170 45110 47476 49621 57602 59345 76340 90220 99242 115204 118690 144005 198484 237380 248105 288010 316811 374413 496210 576020 633622 748826 992420 1267244 1497652 1584055 1872065 3168110 3744130 4118543 6336220 7488260 8237086 16474172 20592715 41185430 82370860