Search a number
-
+
900028320 = 25351875059
BaseRepresentation
bin110101101001010…
…101011110100000
32022201120011202020
4311221111132200
53320401401240
6225150421440
731206054162
oct6551253640
92281504666
10900028320
11422051664
12211501880
13114606549
1487766932
15540350d0
hex35a557a0

900028320 has 48 divisors (see below), whose sum is σ = 2835090720. Its totient is φ = 240007424.

The previous prime is 900028243. The next prime is 900028361. The reversal of 900028320 is 23820009.

900028320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937050 + ... + 938009.

It is an arithmetic number, because the mean of its divisors is an integer number (59064390).

Almost surely, 2900028320 is an apocalyptic number.

It is an amenable number.

900028320 is an abundant number, since it is smaller than the sum of its proper divisors (1935062400).

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

900028320 is a wasteful number, since it uses less digits than its factorization.

900028320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875077 (or 1875069 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 900028320 is about 30000.4719962870. The cubic root of 900028320 is about 965.4995114103.

Adding to 900028320 its reverse (23820009), we get a palindrome (923848329).

The spelling of 900028320 in words is "nine hundred million, twenty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1875059 3750118 5625177 7500236 9375295 11250354 15000472 18750590 22500708 28125885 30000944 37501180 45001416 56251770 60001888 75002360 90002832 112503540 150004720 180005664 225007080 300009440 450014160 900028320