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299988 = 223213641
BaseRepresentation
bin1001001001111010100
3120020111200
41021033110
534044423
610232500
72356413
oct1111724
9506450
10299988
11195427
12125730
13a6710
147b47a
155dd43
hex493d4

299988 has 36 divisors (see below), whose sum is σ = 817908. Its totient is φ = 92160.

The previous prime is 299983. The next prime is 299993. The reversal of 299988 is 889992.

It is an interprime number because it is at equal distance from previous prime (299983) and next prime (299993).

It can be written as a sum of positive squares in 2 ways, for example, as 161604 + 138384 = 402^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 299988.

It is not an unprimeable number, because it can be changed into a prime (299983) by changing a digit.

299988 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148 + ... + 788.

2299988 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 299988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408954).

299988 is an abundant number, since it is smaller than the sum of its proper divisors (517920).

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

299988 is a wasteful number, since it uses less digits than its factorization.

299988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 659 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 299988 is about 547.7116029445. The cubic root of 299988 is about 66.9424024190.

The spelling of 299988 in words is "two hundred ninety-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 641 1282 1923 2564 3846 5769 7692 8333 11538 16666 23076 24999 33332 49998 74997 99996 149994 299988