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99483120 = 24335115379
BaseRepresentation
bin1011110110111…
…11110111110000
320221012021012000
411323133313300
5200431424440
613512134000
72315410152
oct573376760
9227167160
1099483120
1151179160
1229397300
13177c2469
14d2d8ad2
158b01730
hex5edfdf0

99483120 has 320 divisors, whose sum is σ = 385689600. Its totient is φ = 23362560.

The previous prime is 99483091. The next prime is 99483127. The reversal of 99483120 is 2138499.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99483127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259241 + ... + 1259319.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 299483120 is an apocalyptic number.

99483120 is a gapful number since it is divisible by the number (90) 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 99483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192844800).

99483120 is an abundant number, since it is smaller than the sum of its proper divisors (286206480).

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

99483120 is a wasteful number, since it uses less digits than its factorization.

99483120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 99483120 is about 9974.1225177957. The cubic root of 99483120 is about 463.3577867236.

The spelling of 99483120 in words is "ninety-nine million, four hundred eighty-three thousand, one hundred twenty".