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99834390 = 2335438599
BaseRepresentation
bin1011111001101…
…01101000010110
320221212010001000
411330311220112
5201024200030
613523444130
72321402235
oct574655026
9227763030
1099834390
1151399067
1229526646
13178b6306
14d38ab1c
158b70860
hex5f35a16

99834390 has 64 divisors (see below), whose sum is σ = 272448000. Its totient is φ = 26000352.

The previous prime is 99834389. The next prime is 99834391. The reversal of 99834390 is 9343899.

It is an interprime number because it is at equal distance from previous prime (99834389) and next prime (99834391).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99834391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7311 + ... + 15909.

It is an arithmetic number, because the mean of its divisors is an integer number (4257000).

Almost surely, 299834390 is an apocalyptic number.

99834390 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99834390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136224000).

99834390 is an abundant number, since it is smaller than the sum of its proper divisors (172613610).

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

99834390 is a wasteful number, since it uses less digits than its factorization.

99834390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8652 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 99834390 is about 9991.7160688242. The cubic root of 99834390 is about 463.9025106073.

The spelling of 99834390 in words is "ninety-nine million, eight hundred thirty-four thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1935 2322 3870 5805 8599 11610 17198 25797 42995 51594 77391 85990 128985 154782 232173 257970 369757 386955 464346 739514 773910 1109271 1160865 1848785 2218542 2321730 3327813 3697570 5546355 6655626 9983439 11092710 16639065 19966878 33278130 49917195 99834390