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104316192 = 25322811289
BaseRepresentation
bin1100011011110…
…11110100100000
321021021210220200
412031323310200
5203201104232
614203505200
72404446561
oct615736440
9237253820
10104316192
115397a332
122ab28200
13187c5276
14dbd6168
15925877c
hex637bd20

104316192 has 72 divisors (see below), whose sum is σ = 297935820. Its totient is φ = 34621440.

The previous prime is 104316187. The next prime is 104316203. The reversal of 104316192 is 291613401.

104316192 is a `hidden beast` number, since 1 + 0 + 43 + 1 + 619 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97535376 + 6780816 = 9876^2 + 2604^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80284 + ... + 81572.

Almost surely, 2104316192 is an apocalyptic number.

104316192 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 104316192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148967910).

104316192 is an abundant number, since it is smaller than the sum of its proper divisors (193619628).

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

104316192 is a wasteful number, since it uses less digits than its factorization.

104316192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104316192 is about 10213.5298501546. The cubic root of 104316192 is about 470.7430407654.

Adding to 104316192 its reverse (291613401), we get a palindrome (395929593).

The spelling of 104316192 in words is "one hundred four million, three hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1289 1686 2248 2529 2578 3372 3867 4496 5058 5156 6744 7734 8992 10116 10312 11601 13488 15468 20232 20624 23202 26976 30936 40464 41248 46404 61872 80928 92808 123744 185616 362209 371232 724418 1086627 1448836 2173254 2897672 3259881 4346508 5795344 6519762 8693016 11590688 13039524 17386032 26079048 34772064 52158096 104316192