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104188260 = 2235112113127
BaseRepresentation
bin1100011010111…
…00100101100100
321021001022102110
412031130211210
5203133011020
614201041020
72403404601
oct615344544
9237038373
10104188260
11538a2200
122aa86170
131877bc77
14dba16a8
1592308e0
hex635c964

104188260 has 144 divisors (see below), whose sum is σ = 326043648. Its totient is φ = 24837120.

The previous prime is 104188247. The next prime is 104188261. The reversal of 104188260 is 62881401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104188261) 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 47 ways as a sum of consecutive naturals, for example, 820317 + ... + 820443.

It is an arithmetic number, because the mean of its divisors is an integer number (2264192).

Almost surely, 2104188260 is an apocalyptic number.

104188260 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 104188260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163021824).

104188260 is an abundant number, since it is smaller than the sum of its proper divisors (221855388).

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

104188260 is a wasteful number, since it uses less digits than its factorization.

104188260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 104188260 is about 10207.2650597503. The cubic root of 104188260 is about 470.5505243617.

The spelling of 104188260 in words is "one hundred four million, one hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 121 127 132 165 220 226 242 254 330 339 363 381 452 484 508 565 605 635 660 678 726 762 1130 1210 1243 1270 1356 1397 1452 1524 1695 1815 1905 2260 2420 2486 2540 2794 3390 3630 3729 3810 4191 4972 5588 6215 6780 6985 7260 7458 7620 8382 12430 13673 13970 14351 14916 15367 16764 18645 20955 24860 27346 27940 28702 30734 37290 41019 41910 43053 46101 54692 57404 61468 68365 71755 74580 76835 82038 83820 86106 92202 136730 143510 153670 157861 164076 172212 184404 205095 215265 230505 273460 287020 307340 315722 410190 430530 461010 473583 631444 789305 820380 861060 922020 947166 1578610 1736471 1894332 2367915 3157220 3472942 4735830 5209413 6945884 8682355 9471660 10418826 17364710 20837652 26047065 34729420 52094130 104188260