Search a number
-
+
104403200 = 2852111483
BaseRepresentation
bin1100011100100…
…01000100000000
321021110020021012
412032101010000
5203211400300
614205420052
72405261336
oct616210400
9237406235
10104403200
1153a29740
122ab6a628
1318825a55
14dc19b56
159274435
hex6391100

104403200 has 108 divisors (see below), whose sum is σ = 282096528. Its totient is φ = 37939200.

The previous prime is 104403193. The next prime is 104403203. The reversal of 104403200 is 2304401.

It is not an unprimeable number, because it can be changed into a prime (104403203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69659 + ... + 71141.

Almost surely, 2104403200 is an apocalyptic number.

104403200 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 104403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141048264).

104403200 is an abundant number, since it is smaller than the sum of its proper divisors (177693328).

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

104403200 is a wasteful number, since it uses less digits than its factorization.

104403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 104403200 is about 10217.7884104145. The cubic root of 104403200 is about 470.8738834386.

Adding to 104403200 its reverse (2304401), we get a palindrome (106707601).

It can be divided in two parts, 104 and 403200, that added together give a palindrome (403304).

The spelling of 104403200 in words is "one hundred four million, four hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1483 1600 1760 2200 2816 2966 3200 3520 4400 5932 6400 7040 7415 8800 11864 14080 14830 16313 17600 23728 29660 32626 35200 37075 47456 59320 65252 70400 74150 81565 94912 118640 130504 148300 163130 189824 237280 261008 296600 326260 379648 407825 474560 522016 593200 652520 815650 949120 1044032 1186400 1305040 1631300 1898240 2088064 2372800 2610080 3262600 4176128 4745600 5220160 6525200 9491200 10440320 13050400 20880640 26100800 52201600 104403200