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99109920 = 25357132269
BaseRepresentation
bin1011110100001…
…00110000100000
320220111022020210
411322010300200
5200333004140
613500134120
72312264130
oct572046040
9226438223
1099109920
1150a43828
1229237340
13176c1630
14d23cac0
158a7ad80
hex5e84c20

99109920 has 192 divisors, whose sum is σ = 384410880. Its totient is φ = 20901888.

The previous prime is 99109903. The next prime is 99109937. The reversal of 99109920 is 2990199.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99109903) and next prime (99109937).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42546 + ... + 44814.

It is an arithmetic number, because the mean of its divisors is an integer number (2002140).

Almost surely, 299109920 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 99109920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192205440).

99109920 is an abundant number, since it is smaller than the sum of its proper divisors (285300960).

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

99109920 is a wasteful number, since it uses less digits than its factorization.

99109920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 99109920 is about 9955.3965265076. The cubic root of 99109920 is about 462.7776487252. Note that the first 3 decimals are identical.

The spelling of 99109920 in words is "ninety-nine million, one hundred nine thousand, nine hundred twenty".