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99832068 = 22337374383
BaseRepresentation
bin1011111001101…
…01000100000100
320221211222212000
411330311010010
5201024111233
613523425300
72321362410
oct574650404
9227758760
1099832068
1151397346
1229525230
13178b523b
14d389d40
158b6ed13
hex5f35104

99832068 has 192 divisors, whose sum is σ = 314603520. Its totient is φ = 26780544.

The previous prime is 99832067. The next prime is 99832069. The reversal of 99832068 is 86023899.

It is an interprime number because it is at equal distance from previous prime (99832067) and next prime (99832069).

It is a super-3 number, since 3×998320683 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99832067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1202755 + ... + 1202837.

It is an arithmetic number, because the mean of its divisors is an integer number (1638560).

Almost surely, 299832068 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 99832068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

99832068 is an abundant number, since it is smaller than the sum of its proper divisors (214771452).

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

99832068 is a wasteful number, since it uses less digits than its factorization.

99832068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 99832068 is about 9991.5998718924. The cubic root of 99832068 is about 463.8989140177.

The spelling of 99832068 in words is "ninety-nine million, eight hundred thirty-two thousand, sixty-eight".