Search a number
-
+
900152 = 231153193
BaseRepresentation
bin11011011110000111000
31200201202222
43123300320
5212301102
631143212
710436231
oct3336070
91621688
10900152
11565330
12374b08
13256946
14196088
1512baa2
hexdbc38

900152 has 32 divisors (see below), whose sum is σ = 1885680. Its totient is φ = 399360.

The previous prime is 900149. The next prime is 900157. The reversal of 900152 is 251009.

It is a self number, because there is not a number n which added to its sum of digits gives 900152.

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 900152.

It is not an unprimeable number, because it can be changed into a prime (900157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4568 + ... + 4760.

2900152 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 900152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942840).

900152 is an abundant number, since it is smaller than the sum of its proper divisors (985528).

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

900152 is a wasteful number, since it uses less digits than its factorization.

900152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 900152 is about 948.7634057024. The cubic root of 900152 is about 96.5543735022.

The spelling of 900152 in words is "nine hundred thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 53 88 106 193 212 386 424 583 772 1166 1544 2123 2332 4246 4664 8492 10229 16984 20458 40916 81832 112519 225038 450076 900152