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1120220032 = 27171094723
BaseRepresentation
bin100001011000101…
…0011001110000000
32220001220001222211
41002301103032000
54243234020112
6303054111504
736521466421
oct10261231600
92801801884
101120220032
11525375988
122731ab594
1314b1102b9
14a8ac3648
156852c0a7
hex42c53380

1120220032 has 64 divisors (see below), whose sum is σ = 2385147600. Its totient is φ = 522215424.

The previous prime is 1120220011. The next prime is 1120220039. The reversal of 1120220032 is 2300220211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1120219994 and 1120220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120220039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 234823 + ... + 239545.

Almost surely, 21120220032 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 1120220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192573800).

1120220032 is an abundant number, since it is smaller than the sum of its proper divisors (1264927568).

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

1120220032 is a wasteful number, since it uses less digits than its factorization.

1120220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1120220032 is about 33469.6882566898. The cubic root of 1120220032 is about 1038.5668227543.

Adding to 1120220032 its reverse (2300220211), we get a palindrome (3420440243).

The spelling of 1120220032 in words is "one billion, one hundred twenty million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 128 136 218 272 436 544 872 1088 1744 1853 2176 3488 3706 4723 6976 7412 9446 13952 14824 18892 29648 37784 59296 75568 80291 118592 151136 160582 237184 302272 321164 514807 604544 642328 1029614 1284656 2059228 2569312 4118456 5138624 8236912 8751719 10277248 16473824 17503438 32947648 35006876 65895296 70013752 140027504 280055008 560110016 1120220032