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104332600 = 23522337613
BaseRepresentation
bin1100011011111…
…11110100111000
321021022122102101
412031333310320
5203202120400
614204113144
72404545451
oct615776470
9237278371
10104332600
1153990699
122ab357b4
13187cc888
14dbdc128
15925d56a
hex637fd38

104332600 has 96 divisors (see below), whose sum is σ = 260385120. Its totient is φ = 38776320.

The previous prime is 104332589. The next prime is 104332609. The reversal of 104332600 is 6233401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104332609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169894 + ... + 170506.

It is an arithmetic number, because the mean of its divisors is an integer number (2712345).

Almost surely, 2104332600 is an apocalyptic number.

104332600 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 104332600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130192560).

104332600 is an abundant number, since it is smaller than the sum of its proper divisors (156052520).

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

104332600 is a wasteful number, since it uses less digits than its factorization.

104332600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 104332600 is about 10214.3330668233. Note that the first 3 decimals coincide. The cubic root of 104332600 is about 470.7677206888.

The spelling of 104332600 in words is "one hundred four million, three hundred thirty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 37 40 46 50 74 92 100 115 148 184 185 200 230 296 370 460 575 613 740 851 920 925 1150 1226 1480 1702 1850 2300 2452 3065 3404 3700 4255 4600 4904 6130 6808 7400 8510 12260 14099 15325 17020 21275 22681 24520 28198 30650 34040 42550 45362 56396 61300 70495 85100 90724 112792 113405 122600 140990 170200 181448 226810 281980 352475 453620 521663 563960 567025 704950 907240 1043326 1134050 1409900 2086652 2268100 2608315 2819800 4173304 4536200 5216630 10433260 13041575 20866520 26083150 52166300 104332600