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104540580 = 22325619521
BaseRepresentation
bin1100011101100…
…10100110100100
321021201012201100
412032302212210
5203230244310
614212400100
72406403014
oct616624644
9237635640
10104540580
1154012981
122b016030
1318873441
14dc53c44
15929eec0
hex63b29a4

104540580 has 72 divisors (see below), whose sum is σ = 322338744. Its totient is φ = 27417600.

The previous prime is 104540567. The next prime is 104540581. The reversal of 104540580 is 85045401.

104540580 is a `hidden beast` number, since 1 + 0 + 45 + 40 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 104530176 = 102^2 + 10224^2 .

It is not an unprimeable number, because it can be changed into a prime (104540581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6220 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (4476927).

Almost surely, 2104540580 is an apocalyptic number.

104540580 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 104540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161169372).

104540580 is an abundant number, since it is smaller than the sum of its proper divisors (217798164).

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

104540580 is a wasteful number, since it uses less digits than its factorization.

104540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9597 (or 9592 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 104540580 is about 10224.5087901571. The cubic root of 104540580 is about 471.0803276251.

Adding to 104540580 its reverse (85045401), we get a palindrome (189585981).

The spelling of 104540580 in words is "one hundred four million, five hundred forty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 9521 10980 19042 28563 38084 47605 57126 85689 95210 114252 142815 171378 190420 285630 342756 428445 571260 580781 856890 1161562 1713780 1742343 2323124 2903905 3484686 5227029 5807810 6969372 8711715 10454058 11615620 17423430 20908116 26135145 34846860 52270290 104540580