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1135343456 = 251310326497
BaseRepresentation
bin100001110101011…
…1111011101100000
32221010100102102122
41003222333131200
54311121442311
6304354203412
740064155142
oct10352773540
92833312378
101135343456
11532965385
12278283568
131512a6b80
14aaadcc92
1569a180db
hex43abf760

1135343456 has 48 divisors (see below), whose sum is σ = 2430608544. Its totient is φ = 518897664.

The previous prime is 1135343413. The next prime is 1135343507. The reversal of 1135343456 is 6543435311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29600 + ... + 56096.

It is an arithmetic number, because the mean of its divisors is an integer number (50637678).

Almost surely, 21135343456 is an apocalyptic number.

1135343456 is a gapful number since it is divisible by the number (16) 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 1135343456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215304272).

1135343456 is an abundant number, since it is smaller than the sum of its proper divisors (1295265088).

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

1135343456 is a wasteful number, since it uses less digits than its factorization.

1135343456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26623 (or 26615 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

The square root of 1135343456 is about 33694.8580053396. The cubic root of 1135343456 is about 1043.2196377267.

Adding to 1135343456 its reverse (6543435311), we get a palindrome (7678778767).

The spelling of 1135343456 in words is "one billion, one hundred thirty-five million, three hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 103 104 206 208 412 416 824 1339 1648 2678 3296 5356 10712 21424 26497 42848 52994 105988 211976 344461 423952 688922 847904 1377844 2729191 2755688 5458382 5511376 10916764 11022752 21833528 35479483 43667056 70958966 87334112 141917932 283835864 567671728 1135343456