Search a number
-
+
104210496 = 2633134639
BaseRepresentation
bin1100011011000…
…10000001000000
321021002102221000
412031202001000
5203134213441
614201332000
72403526455
oct615420100
9237072830
10104210496
1153907985
122aa97000
1318789120
14dba982c
1592372b6
hex6362040

104210496 has 112 divisors (see below), whose sum is σ = 329996800. Its totient is φ = 32057856.

The previous prime is 104210471. The next prime is 104210501. The reversal of 104210496 is 694012401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20145 + ... + 24783.

It is an arithmetic number, because the mean of its divisors is an integer number (2946400).

Almost surely, 2104210496 is an apocalyptic number.

104210496 is a gapful number since it is divisible by the number (16) 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 104210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164998400).

104210496 is an abundant number, since it is smaller than the sum of its proper divisors (225786304).

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

104210496 is a wasteful number, since it uses less digits than its factorization.

104210496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 104210496 is about 10208.3542258290. The cubic root of 104210496 is about 470.5839971579.

Adding to 104210496 its reverse (694012401), we get a palindrome (798222897).

The spelling of 104210496 in words is "one hundred four million, two hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 4639 5616 7488 9278 11232 13917 18556 22464 27834 37112 41751 55668 60307 74224 83502 111336 120614 125253 148448 167004 180921 222672 241228 250506 296896 334008 361842 445344 482456 501012 542763 668016 723684 890688 964912 1002024 1085526 1336032 1447368 1628289 1929824 2004048 2171052 2672064 2894736 3256578 3859648 4008096 4342104 5789472 6513156 8016192 8684208 11578944 13026312 17368416 26052624 34736832 52105248 104210496