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104681040 = 2435436171
BaseRepresentation
bin1100011110101…
…00111001010000
321021222100101120
412033110321100
5203244243130
614215402240
72410526352
oct617247120
9237870346
10104681040
11540a9462
122b083380
13188c2359
14dc8d0d2
1592cb910
hex63d4e50

104681040 has 40 divisors (see below), whose sum is σ = 324511968. Its totient is φ = 27914880.

The previous prime is 104681033. The next prime is 104681041. The reversal of 104681040 is 40186401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104681040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104681041) 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 7 ways as a sum of consecutive naturals, for example, 217846 + ... + 218325.

Almost surely, 2104681040 is an apocalyptic number.

104681040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104681040 is an abundant number, since it is smaller than the sum of its proper divisors (219830928).

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

104681040 is a wasteful number, since it uses less digits than its factorization.

104681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436187 (or 436181 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104681040 is about 10231.3752741262. The cubic root of 104681040 is about 471.2912132948.

The spelling of 104681040 in words is "one hundred four million, six hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 436171 872342 1308513 1744684 2180855 2617026 3489368 4361710 5234052 6542565 6978736 8723420 10468104 13085130 17446840 20936208 26170260 34893680 52340520 104681040