Search a number
-
+
99420096 = 2632512063
BaseRepresentation
bin1011110110100…
…00011111000000
320221002001201210
411323100133000
5200422420341
613510530120
72315025336
oct573203700
9227061653
1099420096
1151135876
1229366940
131779c879
14d2bdb56
158adcc16
hex5ed07c0

99420096 has 56 divisors (see below), whose sum is σ = 264225024. Its totient is φ = 32992000.

The previous prime is 99420089. The next prime is 99420109. The reversal of 99420096 is 69002499.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 47161 + ... + 49223.

It is an arithmetic number, because the mean of its divisors is an integer number (4718304).

Almost surely, 299420096 is an apocalyptic number.

99420096 is a gapful number since it is divisible by the number (96) 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 99420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132112512).

99420096 is an abundant number, since it is smaller than the sum of its proper divisors (164804928).

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

99420096 is a wasteful number, since it uses less digits than its factorization.

99420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 99420096 is about 9970.9626415908. The cubic root of 99420096 is about 463.2599180932.

The spelling of 99420096 in words is "ninety-nine million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 2063 3012 4016 4126 6024 6189 8032 8252 12048 12378 16064 16504 24096 24756 33008 48192 49512 66016 99024 132032 198048 396096 517813 1035626 1553439 2071252 3106878 4142504 6213756 8285008 12427512 16570016 24855024 33140032 49710048 99420096