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85810104 = 2335371193
BaseRepresentation
bin1010001110101…
…01101110111000
312222110121100000
411013111232320
5133431410404
612303113000
72061242142
oct507255670
9188417300
1085810104
114448a446
12248a2760
1314a15b13
14b579c92
157800339
hex51d5bb8

85810104 has 96 divisors (see below), whose sum is σ = 247731120. Its totient is φ = 27806976.

The previous prime is 85810097. The next prime is 85810117. The reversal of 85810104 is 40101858.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71332 + ... + 72524.

Almost surely, 285810104 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 85810104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123865560).

85810104 is an abundant number, since it is smaller than the sum of its proper divisors (161921016).

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

85810104 is a wasteful number, since it uses less digits than its factorization.

85810104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85810104 is about 9263.3743312035. The cubic root of 85810104 is about 441.0753723733.

The spelling of 85810104 in words is "eighty-five million, eight hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 888 972 999 1193 1332 1944 1998 2386 2664 2997 3579 3996 4772 5994 7158 7992 8991 9544 10737 11988 14316 17982 21474 23976 28632 32211 35964 42948 44141 64422 71928 85896 88282 96633 128844 132423 176564 193266 257688 264846 289899 353128 386532 397269 529692 579798 773064 794538 1059384 1159596 1191807 1589076 2319192 2383614 3178152 3575421 4767228 7150842 9534456 10726263 14301684 21452526 28603368 42905052 85810104