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1161054032 = 241721931301
BaseRepresentation
bin100010100110100…
…0100011101010000
32222220201122201012
41011031010131100
54334212212112
6311113230052
740525540115
oct10515043520
92886648635
101161054032
11546426096
12284a02328
13156709628
14b02b290c
156bde6022
hex45344750

1161054032 has 60 divisors (see below), whose sum is σ = 2403879996. Its totient is φ = 543129600.

The previous prime is 1161054029. The next prime is 1161054077. The reversal of 1161054032 is 2304501611.

It can be written as a sum of positive squares in 6 ways, for example, as 51897616 + 1109156416 = 7204^2 + 33304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1161053989 and 1161054007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 891782 + ... + 893082.

Almost surely, 21161054032 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 1161054032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201939998).

1161054032 is an abundant number, since it is smaller than the sum of its proper divisors (1242825964).

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

1161054032 is a wasteful number, since it uses less digits than its factorization.

1161054032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1161054032 is about 34074.2429409664. The cubic root of 1161054032 is about 1051.0357223940.

Adding to 1161054032 its reverse (2304501611), we get a palindrome (3465555643).

The spelling of 1161054032 in words is "one billion, one hundred sixty-one million, fifty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 193 272 289 386 578 772 1156 1301 1544 2312 2602 3088 3281 4624 5204 6562 10408 13124 20816 22117 26248 44234 52496 55777 88468 111554 176936 223108 251093 353872 375989 446216 502186 751978 892432 1004372 1503956 2008744 3007912 4017488 4268581 6015824 8537162 17074324 34148648 68297296 72565877 145131754 290263508 580527016 1161054032