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104286640 = 2458997151
BaseRepresentation
bin1100011011101…
…00100110110000
321021020022101011
412031310212300
5203144133030
614203120304
72404264453
oct615644660
9237208334
10104286640
115395a107
122ab13094
13187b4993
14dbc949a
15924eb2a
hex63749b0

104286640 has 80 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 40550400.

The previous prime is 104286629. The next prime is 104286647. The reversal of 104286640 is 46682401.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (104286647) by changing a digit.

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, 690565 + ... + 690715.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2104286640 is an apocalyptic number.

104286640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

104286640 is an abundant number, since it is smaller than the sum of its proper divisors (145072400).

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

104286640 is a wasteful number, since it uses less digits than its factorization.

104286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 104286640 is about 10212.0830392237. The cubic root of 104286640 is about 470.6985839017.

The spelling of 104286640 in words is "one hundred four million, two hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 97 151 178 194 302 356 388 445 485 604 712 755 776 890 970 1208 1424 1510 1552 1780 1940 2416 3020 3560 3880 6040 7120 7760 8633 12080 13439 14647 17266 26878 29294 34532 43165 53756 58588 67195 69064 73235 86330 107512 117176 134390 138128 146470 172660 215024 234352 268780 292940 345320 537560 585880 690640 1075120 1171760 1303583 2607166 5214332 6517915 10428664 13035830 20857328 26071660 52143320 104286640