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104082570 = 2345196763
BaseRepresentation
bin1100011010000…
…10110010001010
321020211221110000
412031002302022
5203121120240
614154503430
72402454504
oct615026212
9236757400
10104082570
115382a859
122aa34b76
1318742b27
14db74d74
15920e430
hex6342c8a

104082570 has 80 divisors (see below), whose sum is σ = 294639840. Its totient is φ = 26290656.

The previous prime is 104082569. The next prime is 104082571. The reversal of 104082570 is 75280401.

104082570 is a `hidden beast` number, since 1 + 0 + 408 + 257 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104082569) and next prime (104082571).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104082571) 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 39 ways as a sum of consecutive naturals, for example, 12009 + ... + 18771.

It is an arithmetic number, because the mean of its divisors is an integer number (3682998).

Almost surely, 2104082570 is an apocalyptic number.

104082570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104082570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147319920).

104082570 is an abundant number, since it is smaller than the sum of its proper divisors (190557270).

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

104082570 is a wasteful number, since it uses less digits than its factorization.

104082570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 104082570 is about 10202.0865512894. The cubic root of 104082570 is about 470.3913595612.

The spelling of 104082570 in words is "one hundred four million, eighty-two thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 6763 7695 13526 15390 20289 33815 40578 60867 67630 101445 121734 128497 182601 202890 256994 304335 365202 385491 547803 608670 642485 770982 913005 1095606 1156473 1284970 1826010 1927455 2312946 2739015 3469419 3854910 5478030 5782365 6938838 10408257 11564730 17347095 20816514 34694190 52041285 104082570