Search a number
-
+
90300 = 22352743
BaseRepresentation
bin10110000010111100
311120212110
4112002330
510342200
61534020
7524160
oct260274
9146773
1090300
1161931
1244310
1332142
1424ca0
151bb50
hex160bc

90300 has 72 divisors (see below), whose sum is σ = 305536. Its totient is φ = 20160.

The previous prime is 90289. The next prime is 90313. The reversal of 90300 is 309.

Adding to 90300 its reverse (309), we get a palindrome (90609).

It can be divided in two parts, 90 and 300, that multiplied together give a cube (27000 = 303).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

90300 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 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 2121.

290300 is an apocalyptic number.

It is a pronic number, being equal to 300×301.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152768).

90300 is an abundant number, since it is smaller than the sum of its proper divisors (215236).

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

90300 is a wasteful number, since it uses less digits than its factorization.

90300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 90300 is about 300.4995840263. The cubic root of 90300 is about 44.8637856279.

The spelling of 90300 in words is "ninety thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 43 50 60 70 75 84 86 100 105 129 140 150 172 175 210 215 258 300 301 350 420 430 516 525 602 645 700 860 903 1050 1075 1204 1290 1505 1806 2100 2150 2580 3010 3225 3612 4300 4515 6020 6450 7525 9030 12900 15050 18060 22575 30100 45150 90300