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99420024 = 233113591049
BaseRepresentation
bin1011110110100…
…00011101111000
320221002001122010
411323100131320
5200422420044
613510525520
72315025204
oct573203570
9227061563
1099420024
1151135810
12293668a0
131779c822
14d2bdb04
158adcbb9
hex5ed0778

99420024 has 64 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 30014720.

The previous prime is 99420019. The next prime is 99420037. The reversal of 99420024 is 42002499.

It is a junction number, because it is equal to n+sod(n) for n = 99419973 and 99420000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94252 + ... + 95300.

It is an arithmetic number, because the mean of its divisors is an integer number (4252500).

Almost surely, 299420024 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 99420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

99420024 is an abundant number, since it is smaller than the sum of its proper divisors (172739976).

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

99420024 is a wasteful number, since it uses less digits than its factorization.

99420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 99420024 is about 9970.9590311063. The cubic root of 99420024 is about 463.2598062623.

The spelling of 99420024 in words is "ninety-nine million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 359 718 1049 1077 1436 2098 2154 2872 3147 3949 4196 4308 6294 7898 8392 8616 11539 11847 12588 15796 23078 23694 25176 31592 34617 46156 47388 69234 92312 94776 138468 276936 376591 753182 1129773 1506364 2259546 3012728 4142501 4519092 8285002 9038184 12427503 16570004 24855006 33140008 49710012 99420024