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1155311040 = 26351327121
BaseRepresentation
bin100010011011100…
…1010010111000000
32222111220212210210
41010313022113000
54331224423130
6310350154120
740425660522
oct10467122700
92874825723
101155311040
11543163314
12282ab2940
13155478600
14ad619a12
156b65e5b0
hex44dca5c0

1155311040 has 168 divisors, whose sum is σ = 3972537648. Its totient is φ = 284344320.

The previous prime is 1155311039. The next prime is 1155311063. The reversal of 1155311040 is 401135511.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1155310998 and 1155311016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158680 + ... + 165800.

Almost surely, 21155311040 is an apocalyptic number.

1155311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986268824).

1155311040 is an abundant number, since it is smaller than the sum of its proper divisors (2817226608).

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

1155311040 is a wasteful number, since it uses less digits than its factorization.

1155311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167 (or 7144 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1155311040 is about 33989.8667252462. The cubic root of 1155311040 is about 1049.2999233576.

Adding to 1155311040 its reverse (401135511), we get a palindrome (1556446551).

The spelling of 1155311040 in words is "one billion, one hundred fifty-five million, three hundred eleven thousand, forty".