Search a number
-
+
104418672 = 2435936871
BaseRepresentation
bin1100011100101…
…00110101110000
321021111000111020
412032110311300
5203212344142
614210015440
72405354421
oct616246560
9237430436
10104418672
1153a3a326
122ab77580
131882cac7
14dc21648
159278cec
hex6394d70

104418672 has 40 divisors (see below), whose sum is σ = 274327680. Its totient is φ = 34215360.

The previous prime is 104418653. The next prime is 104418701. The reversal of 104418672 is 276814401.

It is a congruent number.

It is an unprimeable number.

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, 15604 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (6858192).

Almost surely, 2104418672 is an apocalyptic number.

104418672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104418672 is an abundant number, since it is smaller than the sum of its proper divisors (169909008).

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

104418672 is a wasteful number, since it uses less digits than its factorization.

104418672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36941 (or 36935 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 104418672 is about 10218.5454933665. The cubic root of 104418672 is about 470.8971426263.

The spelling of 104418672 in words is "one hundred four million, four hundred eighteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 36871 73742 110613 147484 221226 294968 442452 589936 884904 1769808 2175389 4350778 6526167 8701556 13052334 17403112 26104668 34806224 52209336 104418672