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104364272 = 2429376079
BaseRepresentation
bin1100011100001…
…11100011110000
321021101020212102
412032013203300
5203204124042
614204515532
72405040005
oct616074360
9237336772
10104364272
1153a02471
122ab4bba8
131881110c
14dc098ac
159267b32
hex63878f0

104364272 has 40 divisors (see below), whose sum is σ = 214867200. Its totient is φ = 49012992.

The previous prime is 104364263. The next prime is 104364313. The reversal of 104364272 is 272463401.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 2.

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, 14129 + ... + 20207.

It is an arithmetic number, because the mean of its divisors is an integer number (5371680).

Almost surely, 2104364272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104364272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107433600).

104364272 is an abundant number, since it is smaller than the sum of its proper divisors (110502928).

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

104364272 is a wasteful number, since it uses less digits than its factorization.

104364272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6153 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 104364272 is about 10215.8833196156. The cubic root of 104364272 is about 470.8153524829.

The spelling of 104364272 in words is "one hundred four million, three hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 1073 2146 4292 6079 8584 12158 17168 24316 48632 97264 176291 224923 352582 449846 705164 899692 1410328 1799384 2820656 3598768 6522767 13045534 26091068 52182136 104364272