[go: up one dir, main page]

Search a number
-
+
99312 = 2432069
BaseRepresentation
bin11000001111110000
312001020020
4120033300
511134222
62043440
7562353
oct301760
9161206
1099312
1168684
1249580
1336285
142829a
151e65c
hex183f0

99312 has 20 divisors (see below), whose sum is σ = 256680. Its totient is φ = 33088.

The previous prime is 99289. The next prime is 99317. The reversal of 99312 is 21399.

It is a happy number.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99317) by changing a digit.

99312 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 3 ways as a sum of consecutive naturals, for example, 987 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (12834).

299312 is an apocalyptic number.

It is an amenable number.

99312 is an abundant number, since it is smaller than the sum of its proper divisors (157368).

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 (128340).

99312 is a wasteful number, since it uses less digits than its factorization.

99312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2074 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 99312 is about 315.1380649810. The cubic root of 99312 is about 46.3091961761.

The spelling of 99312 in words is "ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2069 4138 6207 8276 12414 16552 24828 33104 49656 99312