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99905104 = 24132411993
BaseRepresentation
bin1011111010001…
…10111001010000
320221222201001001
411331012321100
5201033430404
613525151344
72322115345
oct575067120
9227881031
1099905104
1151437202
122955b554
131790c560
14d3a87cc
158b867a4
hex5f46e50

99905104 has 40 divisors (see below), whose sum is σ = 209425832. Its totient is φ = 45895680.

The previous prime is 99905101. The next prime is 99905111. The reversal of 99905104 is 40150999.

It can be written as a sum of positive squares in 4 ways, for example, as 18905104 + 81000000 = 4348^2 + 9000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99905101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49132 + ... + 51124.

Almost surely, 299905104 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 99905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104712916).

99905104 is an abundant number, since it is smaller than the sum of its proper divisors (109520728).

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

99905104 is a wasteful number, since it uses less digits than its factorization.

99905104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The square root of 99905104 is about 9995.2540738092. The cubic root of 99905104 is about 464.0120141558.

The spelling of 99905104 in words is "ninety-nine million, nine hundred five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1928 1993 3133 3856 3986 6266 7972 12532 15944 25064 25909 31888 50128 51818 103636 207272 414544 480313 960626 1921252 3842504 6244069 7685008 12488138 24976276 49952552 99905104