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104532192 = 2532834373
BaseRepresentation
bin1100011101100…
…00100011100000
321021200210012200
412032300203200
5203230012232
614212253200
72406336402
oct616604340
9237623180
10104532192
1154007646
122b011200
131886c68b
14dc50b72
15929c77c
hex63b08e0

104532192 has 72 divisors (see below), whose sum is σ = 300913704. Its totient is φ = 34416384.

The previous prime is 104532187. The next prime is 104532203. The reversal of 104532192 is 291235401.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21718 + ... + 26090.

It is an arithmetic number, because the mean of its divisors is an integer number (4179357).

Almost surely, 2104532192 is an apocalyptic number.

104532192 is a gapful number since it is divisible by the number (12) 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 104532192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150456852).

104532192 is an abundant number, since it is smaller than the sum of its proper divisors (196381512).

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

104532192 is a wasteful number, since it uses less digits than its factorization.

104532192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4472 (or 4461 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 104532192 is about 10224.0985910739. The cubic root of 104532192 is about 471.0677279645.

Adding to 104532192 its reverse (291235401), we get a palindrome (395767593).

The spelling of 104532192 in words is "one hundred four million, five hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 4373 5976 7968 8746 11952 13119 17492 23904 26238 34984 39357 52476 69968 78714 104952 139936 157428 209904 314856 362959 419808 629712 725918 1088877 1259424 1451836 2177754 2903672 3266631 4355508 5807344 6533262 8711016 11614688 13066524 17422032 26133048 34844064 52266096 104532192