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99900000 = 25335537
BaseRepresentation
bin1011111010001…
…01101001100000
320221222110001000
411331011221200
5201033300000
613525112000
72322064434
oct575055140
9227873030
1099900000
1151433392
1229558600
131790a135
14d3a69c4
158b85000
hex5f45a60

99900000 has 288 divisors, whose sum is σ = 374038560. Its totient is φ = 25920000.

The previous prime is 99899999. The next prime is 99900001. The reversal of 99900000 is 999.

It is an interprime number because it is at equal distance from previous prime (99899999) and next prime (99900001).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99900001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2699982 + ... + 2700018.

It is an arithmetic number, because the mean of its divisors is an integer number (1298745).

Almost surely, 299900000 is an apocalyptic number.

99900000 is a gapful number since it is divisible by the number (90) 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 99900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

99900000 is an abundant number, since it is smaller than the sum of its proper divisors (274138560).

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

99900000 is an equidigital number, since it uses as much as digits as its factorization.

99900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 99900000 is about 9994.9987493746. The cubic root of 99900000 is about 464.0041121316.

Adding to 99900000 its reverse (999), we get a palindrome (99900999).

99900000 divided by its reverse (999) gives a 5-th power (100000 = 105).

The spelling of 99900000 in words is "ninety-nine million, nine hundred thousand".