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1131008 = 29472
BaseRepresentation
bin100010100001000000000
32010110110012
410110020000
5242143013
640124052
712420254
oct4241000
92113405
101131008
1170281a
12466628
13307a48
14216264
151751a8
hex114200

1131008 has 30 divisors (see below), whose sum is σ = 2308911. Its totient is φ = 553472.

The previous prime is 1130981. The next prime is 1131023. The reversal of 1131008 is 8001311.

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 only one way, i.e., 565504 + 565504 = 752^2 + 752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=752.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1130983 and 1131001.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 24041 + ... + 24087.

21131008 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 1131008

1131008 is an abundant number, since it is smaller than the sum of its proper divisors (1177903).

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

1131008 is an frugal number, since it uses more digits than its factorization.

1131008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1131008 is about 1063.4885989046. The cubic root of 1131008 is about 104.1890054135.

Adding to 1131008 its reverse (8001311), we get a palindrome (9132319).

The spelling of 1131008 in words is "one million, one hundred thirty-one thousand, eight".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 1504 2209 3008 4418 6016 8836 12032 17672 24064 35344 70688 141376 282752 565504 1131008