Search a number
-
+
1119008 = 25112172
BaseRepresentation
bin100010001001100100000
32002211222202
410101030200
5241302013
635552332
712340262
oct4211440
92084882
101119008
116a4800
1245b6a8
13302447
14211b32
15171858
hex111320

1119008 has 54 divisors (see below), whose sum is σ = 2572353. Its totient is φ = 478720.

The previous prime is 1118993. The next prime is 1119029. The reversal of 1119008 is 8009111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 94864 = 1012^2 + 308^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=748.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65816 + ... + 65832.

21119008 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 1119008

1119008 is an abundant number, since it is smaller than the sum of its proper divisors (1453345).

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

1119008 is a wasteful number, since it uses less digits than its factorization.

1119008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The square root of 1119008 is about 1057.8317446551. The cubic root of 1119008 is about 103.8192125391.

Multiplying 1119008 by its product of nonzero digits (72), we get a square (80568576 = 89762).

It can be divided in two parts, 111 and 9008, that added together give a palindrome (9119).

The spelling of 1119008 in words is "one million, one hundred nineteen thousand, eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 121 136 176 187 242 272 289 352 374 484 544 578 748 968 1156 1496 1936 2057 2312 2992 3179 3872 4114 4624 5984 6358 8228 9248 12716 16456 25432 32912 34969 50864 65824 69938 101728 139876 279752 559504 1119008