Search a number
-
+
104191800 = 23352211823
BaseRepresentation
bin1100011010111…
…01011100111000
321021001111021120
412031131130320
5203133114200
614201105240
72403421116
oct615353470
9237044246
10104191800
11538a4929
122aa88220
131878076b
14dba2ab6
1592319a0
hex635d738

104191800 has 96 divisors (see below), whose sum is σ = 324919680. Its totient is φ = 27619200.

The previous prime is 104191777. The next prime is 104191819. The reversal of 104191800 is 8191401.

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

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, 126189 + ... + 127011.

It is an arithmetic number, because the mean of its divisors is an integer number (3384580).

Almost surely, 2104191800 is an apocalyptic number.

104191800 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 104191800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162459840).

104191800 is an abundant number, since it is smaller than the sum of its proper divisors (220727880).

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

104191800 is a wasteful number, since it uses less digits than its factorization.

104191800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 104191800 is about 10207.4384641790. The cubic root of 104191800 is about 470.5558535929. Note that the first 3 decimals are identical.

The spelling of 104191800 in words is "one hundred four million, one hundred ninety-one thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 211 300 422 600 633 823 844 1055 1266 1646 1688 2110 2469 2532 3165 3292 4115 4220 4938 5064 5275 6330 6584 8230 8440 9876 10550 12345 12660 15825 16460 19752 20575 21100 24690 25320 31650 32920 41150 42200 49380 61725 63300 82300 98760 123450 126600 164600 173653 246900 347306 493800 520959 694612 868265 1041918 1389224 1736530 2083836 2604795 3473060 4167672 4341325 5209590 6946120 8682650 10419180 13023975 17365300 20838360 26047950 34730600 52095900 104191800