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99989910 = 23353710009
BaseRepresentation
bin1011111010110…
…11100110010110
320222011000101000
411331123212112
5201044134120
613531044130
72322620526
oct575334626
9228130330
1099989910
1151494999
12295a0646
131793c037
14d3cb686
158ba1990
hex5f5b996

99989910 has 64 divisors (see below), whose sum is σ = 273873600. Its totient is φ = 25940736.

The previous prime is 99989909. The next prime is 99989963. The reversal of 99989910 is 1998999.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4986 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (4279275).

Almost surely, 299989910 is an apocalyptic number.

99989910 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99989910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136936800).

99989910 is an abundant number, since it is smaller than the sum of its proper divisors (173883690).

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

99989910 is a wasteful number, since it uses less digits than its factorization.

99989910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10062 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 54.

The square root of 99989910 is about 9999.4954872733. The cubic root of 99989910 is about 464.1432716257.

It can be divided in two parts, 999 and 89910, that added together give a palindrome (90909).

The spelling of 99989910 in words is "ninety-nine million, nine hundred eighty-nine thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 10009 20018 30027 50045 60054 90081 100090 150135 180162 270243 300270 370333 450405 540486 740666 900810 1110999 1351215 1851665 2221998 2702430 3332997 3703330 5554995 6665994 9998991 11109990 16664985 19997982 33329970 49994955 99989910