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99460 = 2254973
BaseRepresentation
bin11000010010000100
312001102201
4120102010
511140320
62044244
7562654
oct302204
9161381
1099460
11687a9
1249684
133636a
1428364
151e70a
hex18484

99460 has 12 divisors (see below), whose sum is σ = 208908. Its totient is φ = 39776.

The previous prime is 99439. The next prime is 99469. The reversal of 99460 is 6499.

99460 = T221 + T222 + ... + T224.

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 49284 = 224^2 + 222^2 .

It is not an unprimeable number, because it can be changed into a prime (99469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2467 + ... + 2506.

It is an arithmetic number, because the mean of its divisors is an integer number (17409).

299460 is an apocalyptic number.

99460 is the 258-th centered triangular number.

It is an amenable number.

99460 is an abundant number, since it is smaller than the sum of its proper divisors (109448).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104454).

99460 is a wasteful number, since it uses less digits than its factorization.

99460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4980 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 99460 is about 315.3727952757. The cubic root of 99460 is about 46.3321888969.

The spelling of 99460 in words is "ninety-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 4973 9946 19892 24865 49730 99460