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860005104 = 24379726387
BaseRepresentation
bin110011010000101…
…010001011110000
32012221020210012220
4303100222023300
53230130130404
6221200521040
730211631340
oct6320521360
92187223186
10860005104
114014a5622
12200020180
1310923227a
1482308d20
155077b4d9
hex3342a2f0

860005104 has 80 divisors (see below), whose sum is σ = 2565335808. Its totient is φ = 243173376.

The previous prime is 860005087. The next prime is 860005123. The reversal of 860005104 is 401500068.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 19399 + ... + 45785.

Almost surely, 2860005104 is an apocalyptic number.

860005104 is a gapful number since it is divisible by the number (84) 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 860005104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282667904).

860005104 is an abundant number, since it is smaller than the sum of its proper divisors (1705330704).

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

860005104 is a wasteful number, since it uses less digits than its factorization.

860005104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26502 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 860005104 is about 29325.8436195790. The cubic root of 860005104 is about 950.9704225980.

The spelling of 860005104 in words is "eight hundred sixty million, five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 97 112 168 194 291 336 388 582 679 776 1164 1358 1552 2037 2328 2716 4074 4656 5432 8148 10864 16296 26387 32592 52774 79161 105548 158322 184709 211096 316644 369418 422192 554127 633288 738836 1108254 1266576 1477672 2216508 2559539 2955344 4433016 5119078 7678617 8866032 10238156 15357234 17916773 20476312 30714468 35833546 40952624 53750319 61428936 71667092 107500638 122857872 143334184 215001276 286668368 430002552 860005104