Search a number
-
+
901120 = 214511
BaseRepresentation
bin11011100000000000000
31200210002211
43130000000
5212313440
631151504
710442113
oct3340000
91623084
10901120
11566030
12375594
1325720c
1419657a
1512beea
hexdc000

901120 has 60 divisors (see below), whose sum is σ = 2359224. Its totient is φ = 327680.

The previous prime is 901111. The next prime is 901133. The reversal of 901120 is 21109.

901120 = T69 + T70 + ... + T178.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 901120.

It is a congruent number.

It is an unprimeable number.

901120 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81915 + ... + 81925.

2901120 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 901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179612).

901120 is an abundant number, since it is smaller than the sum of its proper divisors (1458104).

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

901120 is an equidigital number, since it uses as much as digits as its factorization.

901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 901120 is about 949.2734063482. The cubic root of 901120 is about 96.5889717888.

Adding to 901120 its reverse (21109), we get a palindrome (922229).

The spelling of 901120 in words is "nine hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2048 2560 2816 3520 4096 5120 5632 7040 8192 10240 11264 14080 16384 20480 22528 28160 40960 45056 56320 81920 90112 112640 180224 225280 450560 901120