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1161132264 = 233225216397
BaseRepresentation
bin100010100110101…
…0111100011101000
32222220212122000200
41011031113203220
54334222213024
6311115032200
740526314155
oct10515274350
92886778020
101161132264
11546479946
12284a3b660
13156736116
14b02d322c
156be0e2c9
hex453578e8

1161132264 has 48 divisors (see below), whose sum is σ = 3146472420. Its totient is φ = 386830080.

The previous prime is 1161132263. The next prime is 1161132281. The reversal of 1161132264 is 4622311611.

It is a happy number.

1161132264 is a `hidden beast` number, since 11 + 611 + 32 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 648109764 + 513022500 = 25458^2 + 22650^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1161132263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178314 + ... + 184710.

Almost surely, 21161132264 is an apocalyptic number.

It is an amenable number.

1161132264 is an abundant number, since it is smaller than the sum of its proper divisors (1985340156).

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

1161132264 is a wasteful number, since it uses less digits than its factorization.

1161132264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8923 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1161132264 is about 34075.3908855056. The cubic root of 1161132264 is about 1051.0593281803.

Adding to 1161132264 its reverse (4622311611), we get a palindrome (5783443875).

The spelling of 1161132264 in words is "one billion, one hundred sixty-one million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2521 5042 6397 7563 10084 12794 15126 19191 20168 22689 25588 30252 38382 45378 51176 57573 60504 76764 90756 115146 153528 181512 230292 460584 16126837 32253674 48380511 64507348 96761022 129014696 145141533 193522044 290283066 387044088 580566132 1161132264