Search a number
-
+
1001168 = 24721277
BaseRepresentation
bin11110100011011010000
31212212100022
43310123100
5224014133
633243012
711336600
oct3643320
91785308
101001168
11624213
12403468
1329090c
141c0c00
1514b998
hexf46d0

1001168 has 30 divisors (see below), whose sum is σ = 2258226. Its totient is φ = 428736.

The previous prime is 1001159. The next prime is 1001173. The reversal of 1001168 is 8611001.

It is a happy number.

1001168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 906304 + 94864 = 952^2 + 308^2 .

It is an Ulam number.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146 + ... + 1422.

21001168 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 1001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129113).

1001168 is an abundant number, since it is smaller than the sum of its proper divisors (1257058).

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

1001168 is a wasteful number, since it uses less digits than its factorization.

1001168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1001168 is about 1000.5838295715. The cubic root of 1001168 is about 100.0389181851.

Adding to 1001168 its reverse (8611001), we get a palindrome (9612169).

The spelling of 1001168 in words is "one million, one thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 1277 2554 5108 8939 10216 17878 20432 35756 62573 71512 125146 143024 250292 500584 1001168