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104531000 = 23537109137
BaseRepresentation
bin1100011101100…
…00010000111000
321021200201120112
412032300100320
5203224443000
614212243452
72406333050
oct616602070
9237621515
10104531000
1154006762
122b010588
131886bc82
14dc50560
15929c235
hex63b0438

104531000 has 128 divisors (see below), whose sum is σ = 284169600. Its totient is φ = 35251200.

The previous prime is 104530969. The next prime is 104531029. The reversal of 104531000 is 135401.

It is a super-2 number, since 2×1045310002 = 21853459922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 762932 + ... + 763068.

It is an arithmetic number, because the mean of its divisors is an integer number (2220075).

Almost surely, 2104531000 is an apocalyptic number.

104531000 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 104531000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142084800).

104531000 is an abundant number, since it is smaller than the sum of its proper divisors (179638600).

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

104531000 is a wasteful number, since it uses less digits than its factorization.

104531000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 104531000 is about 10224.0402972602. The cubic root of 104531000 is about 471.0659374001.

Adding to 104531000 its reverse (135401), we get a palindrome (104666401).

The spelling of 104531000 in words is "one hundred four million, five hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 125 137 140 175 200 218 250 274 280 350 436 500 545 548 685 700 763 872 875 959 1000 1090 1096 1370 1400 1526 1750 1918 2180 2725 2740 3052 3425 3500 3815 3836 4360 4795 5450 5480 6104 6850 7000 7630 7672 9590 10900 13625 13700 14933 15260 17125 19075 19180 21800 23975 27250 27400 29866 30520 34250 38150 38360 47950 54500 59732 68500 74665 76300 95375 95900 104531 109000 119464 119875 137000 149330 152600 190750 191800 209062 239750 298660 373325 381500 418124 479500 522655 597320 746650 763000 836248 959000 1045310 1493300 1866625 2090620 2613275 2986600 3733250 4181240 5226550 7466500 10453100 13066375 14933000 20906200 26132750 52265500 104531000