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99240 = 2335827
BaseRepresentation
bin11000001110101000
312001010120
4120032220
511133430
62043240
7562221
oct301650
9161116
1099240
1168619
1249520
133622b
1428248
151e610
hex183a8

99240 has 32 divisors (see below), whose sum is σ = 298080. Its totient is φ = 26432.

The previous prime is 99233. The next prime is 99241. The reversal of 99240 is 4299.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 99240.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 99240.

It is not an unprimeable number, because it can be changed into a prime (99241) by changing a digit.

99240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (9315).

299240 is an apocalyptic number.

It is an amenable number.

99240 is an abundant number, since it is smaller than the sum of its proper divisors (198840).

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 (149040).

99240 is a wasteful number, since it uses less digits than its factorization.

99240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 99240 is about 315.0238086240. The cubic root of 99240 is about 46.2980022680.

The spelling of 99240 in words is "ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 827 1654 2481 3308 4135 4962 6616 8270 9924 12405 16540 19848 24810 33080 49620 99240