Search a number
-
+
104317800 = 23352372127
BaseRepresentation
bin1100011011111…
…00001101101000
321021021220010020
412031330031220
5203201132200
614203520440
72404454346
oct615741550
9237256106
10104317800
1153980564
122ab29120
13187c5c12
14dbd6996
159258ea0
hex637c368

104317800 has 144 divisors (see below), whose sum is σ = 334978560. Its totient is φ = 26853120.

The previous prime is 104317793. The next prime is 104317853. The reversal of 104317800 is 8713401.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 821337 + ... + 821463.

It is an arithmetic number, because the mean of its divisors is an integer number (2326240).

Almost surely, 2104317800 is an apocalyptic number.

104317800 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 104317800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167489280).

104317800 is an abundant number, since it is smaller than the sum of its proper divisors (230660760).

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

104317800 is a wasteful number, since it uses less digits than its factorization.

104317800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 104317800 is about 10213.6085689633. The cubic root of 104317800 is about 470.7454595364.

The spelling of 104317800 in words is "one hundred four million, three hundred seventeen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 127 148 150 185 200 222 254 296 300 370 381 444 508 555 600 635 740 762 888 925 1016 1110 1270 1369 1480 1524 1850 1905 2220 2540 2738 2775 3048 3175 3700 3810 4107 4440 4699 5080 5476 5550 6350 6845 7400 7620 8214 9398 9525 10952 11100 12700 13690 14097 15240 16428 18796 19050 20535 22200 23495 25400 27380 28194 32856 34225 37592 38100 41070 46990 54760 56388 68450 70485 76200 82140 93980 102675 112776 117475 136900 140970 164280 173863 187960 205350 234950 273800 281940 347726 352425 410700 469900 521589 563880 695452 704850 821400 869315 939800 1043178 1390904 1409700 1738630 2086356 2607945 2819400 3477260 4172712 4346575 5215890 6954520 8693150 10431780 13039725 17386300 20863560 26079450 34772600 52158900 104317800