Search a number
-
+
104713560 = 23395719
BaseRepresentation
bin1100011110111…
…00110101011000
321022001000000000
412033130311120
5203301313220
614220213000
72411023230
oct617346530
9238030000
10104713560
1154120936
122b09a160
13189040b3
14dc9acc0
1592d6390
hex63dcd58

104713560 has 320 divisors, whose sum is σ = 425145600. Its totient is φ = 22674816.

The previous prime is 104713513. The next prime is 104713561. The reversal of 104713560 is 65317401.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104713561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5511231 + ... + 5511249.

It is an arithmetic number, because the mean of its divisors is an integer number (1328580).

Almost surely, 2104713560 is an apocalyptic number.

104713560 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 104713560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212572800).

104713560 is an abundant number, since it is smaller than the sum of its proper divisors (320432040).

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

104713560 is an frugal number, since it uses more digits than its factorization.

104713560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 104713560 is about 10232.9643798852. The cubic root of 104713560 is about 471.3400117000.

The spelling of 104713560 in words is "one hundred four million, seven hundred thirteen thousand, five hundred sixty".