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1161118032 = 243411913089
BaseRepresentation
bin100010100110101…
…0100000101010000
32222220211220111120
41011031110011100
54334221234112
6311114442240
740526224524
oct10515240520
92886756446
101161118032
1154646a188
12284a33380
1315672c7b9
14b02cbd84
156be09e8c
hex45354150

1161118032 has 80 divisors (see below), whose sum is σ = 3089802240. Its totient is φ = 375500800.

The previous prime is 1161118027. The next prime is 1161118043. The reversal of 1161118032 is 2308111611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1161117993 and 1161118011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374344 + ... + 377432.

It is an arithmetic number, because the mean of its divisors is an integer number (38622528).

Almost surely, 21161118032 is an apocalyptic number.

1161118032 is a gapful number since it is divisible by the number (12) 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 1161118032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544901120).

1161118032 is an abundant number, since it is smaller than the sum of its proper divisors (1928684208).

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

1161118032 is a wasteful number, since it uses less digits than its factorization.

1161118032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1161118032 is about 34075.1820538057. The cubic root of 1161118032 is about 1051.0550338841.

Adding to 1161118032 its reverse (2308111611), we get a palindrome (3469229643).

The spelling of 1161118032 in words is "one billion, one hundred sixty-one million, one hundred eighteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 191 246 328 382 492 573 656 764 984 1146 1528 1968 2292 3056 3089 4584 6178 7831 9168 9267 12356 15662 18534 23493 24712 31324 37068 46986 49424 62648 74136 93972 125296 126649 148272 187944 253298 375888 379947 506596 589999 759894 1013192 1179998 1519788 1769997 2026384 2359996 3039576 3539994 4719992 6079152 7079988 9439984 14159976 24189959 28319952 48379918 72569877 96759836 145139754 193519672 290279508 387039344 580559016 1161118032