Search a number
-
+
104513420 = 22511716691
BaseRepresentation
bin1100011101010…
…11111110001100
321021122211110102
412032223332030
5203223412140
614212030232
72406230564
oct616537614
9237584412
10104513420
1153aa4530
122b002378
1318863c7b
14dc47da4
159296e15
hex63abf8c

104513420 has 48 divisors (see below), whose sum is σ = 242839296. Its totient is φ = 37464000.

The previous prime is 104513417. The next prime is 104513441. The reversal of 104513420 is 24315401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104513392 and 104513401.

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, 12275 + ... + 18965.

It is an arithmetic number, because the mean of its divisors is an integer number (5059152).

Almost surely, 2104513420 is an apocalyptic number.

104513420 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 104513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121419648).

104513420 is an abundant number, since it is smaller than the sum of its proper divisors (138325876).

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

104513420 is a wasteful number, since it uses less digits than its factorization.

104513420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6782 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 104513420 is about 10223.1805227141. The cubic root of 104513420 is about 471.0395279985.

Adding to 104513420 its reverse (24315401), we get a palindrome (128828821).

The spelling of 104513420 in words is "one hundred four million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 6691 7810 13382 15620 26764 33455 66910 73601 133820 147202 294404 368005 475061 736010 950122 1472020 1900244 2375305 4750610 5225671 9501220 10451342 20902684 26128355 52256710 104513420