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99019440 = 243251371149
BaseRepresentation
bin1011110011011…
…10101010110000
320220022201010200
411321232222300
5200322110230
613454155200
72311436262
oct571565260
9226281120
1099019440
1150991853
12291b2b00
131768c3b0
14d217b32
158a5e160
hex5e6eab0

99019440 has 240 divisors, whose sum is σ = 365601600. Its totient is φ = 23869440.

The previous prime is 99019433. The next prime is 99019447. The reversal of 99019440 is 4491099.

It is an interprime number because it is at equal distance from previous prime (99019433) and next prime (99019447).

It is a tau number, because it is divible by the number of its divisors (240).

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 junction number, because it is equal to n+sod(n) for n = 99019395 and 99019404.

It is not an unprimeable number, because it can be changed into a prime (99019447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 664486 + ... + 664634.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 299019440 is an apocalyptic number.

99019440 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 99019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

99019440 is an abundant number, since it is smaller than the sum of its proper divisors (266582160).

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

99019440 is a wasteful number, since it uses less digits than its factorization.

99019440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 99019440 is about 9950.8512198706. The cubic root of 99019440 is about 462.6367786348.

The spelling of 99019440 in words is "ninety-nine million, nineteen thousand, four hundred forty".