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1120217088 = 2113414447
BaseRepresentation
bin100001011000101…
…0010100000000000
32220001212220221210
41002301102200000
54243233421323
6303054050120
736521455014
oct10261224000
92801786853
101120217088
11525373751
122731a9940
1314b10bb63
14a8ac2544
156852b293
hex42c52800

1120217088 has 96 divisors (see below), whose sum is σ = 3060046080. Its totient is φ = 364216320.

The previous prime is 1120217083. The next prime is 1120217117. The reversal of 1120217088 is 8807120211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1120217081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249681 + ... + 254127.

It is an arithmetic number, because the mean of its divisors is an integer number (31875480).

Almost surely, 21120217088 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 1120217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530023040).

1120217088 is an abundant number, since it is smaller than the sum of its proper divisors (1939828992).

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

1120217088 is an equidigital number, since it uses as much as digits as its factorization.

1120217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4513 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 1120217088 is about 33469.6442765680. The cubic root of 1120217088 is about 1038.5659129498.

Adding to 1120217088 its reverse (8807120211), we get a palindrome (9927337299).

The spelling of 1120217088 in words is "one billion, one hundred twenty million, two hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4447 5248 6144 7872 8894 10496 13341 15744 17788 20992 26682 31488 35576 41984 53364 62976 71152 83968 106728 125952 142304 182327 213456 251904 284608 364654 426912 546981 569216 729308 853824 1093962 1138432 1458616 1707648 2187924 2276864 2917232 3415296 4375848 4553728 5834464 6830592 8751696 9107456 11668928 13661184 17503392 23337856 27322368 35006784 46675712 70013568 93351424 140027136 186702848 280054272 373405696 560108544 1120217088