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99990000 = 24325411101
BaseRepresentation
bin1011111010110…
…11100111110000
320222011000111100
411331123213300
5201044140000
613531044400
72322621015
oct575334760
9228130440
1099990000
1151494a70
12295a0700
131793c0a6
14d3cb70c
158ba1a00
hex5f5b9f0

99990000 has 300 divisors, whose sum is σ = 385245432. Its totient is φ = 24000000.

The previous prime is 99989983. The next prime is 99990001. The reversal of 99990000 is 9999.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (99990001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 989950 + ... + 990050.

Almost surely, 299990000 is an apocalyptic number.

99990000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 9999×10000.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192622716).

99990000 is an abundant number, since it is smaller than the sum of its proper divisors (285255432).

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

99990000 is a wasteful number, since it uses less digits than its factorization.

99990000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 36.

The square root of 99990000 is about 9999.4999874994. The cubic root of 99990000 is about 464.1434108827.

Adding to 99990000 its reverse (9999), we get a palindrome (99999999).

Subtracting from 99990000 its reverse (9999), we obtain a square (99980001 = 99992).

Multiplying 99990000 by its reverse (9999), we get a square (999800010000 = 9999002).

99990000 divided by its reverse (9999) gives a 4-th power (10000 = 104).

It can be divided in two parts, 99 and 990000, that multiplied together give a square (98010000 = 99002).

The spelling of 99990000 in words is "ninety-nine million, nine hundred ninety thousand".