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99131104 = 25233672
BaseRepresentation
bin1011110100010…
…01111011100000
320220112101022101
411322021323200
5200334143404
613500420144
72312412652
oct572117340
9226471271
1099131104
1150a58736
1229247654
13176cb177
14d2466d2
158a822a4
hex5e89ee0

99131104 has 36 divisors (see below), whose sum is σ = 204206184. Its totient is φ = 47281344.

The previous prime is 99131099. The next prime is 99131107. The reversal of 99131104 is 40113199.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99131107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269929 + ... + 270295.

It is an arithmetic number, because the mean of its divisors is an integer number (5672394).

Almost surely, 299131104 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 99131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102103092).

99131104 is an abundant number, since it is smaller than the sum of its proper divisors (105075080).

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

99131104 is an equidigital number, since it uses as much as digits as its factorization.

99131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 99131104 is about 9956.4604152279. The cubic root of 99131104 is about 462.8106181236.

It can be divided in two parts, 99131 and 104, that added together give a triangular number (99235 = T445).

The spelling of 99131104 in words is "ninety-nine million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 46 92 184 367 368 734 736 1468 2936 5872 8441 11744 16882 33764 67528 134689 135056 269378 270112 538756 1077512 2155024 3097847 4310048 6195694 12391388 24782776 49565552 99131104