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1120343120 = 245132773889
BaseRepresentation
bin100001011000111…
…0001010001010000
32220002010022211122
41002301301101100
54243301434440
6303100501412
736522521321
oct10261612120
92802108748
101120343120
1152544a406
1227324a868
1314b154330
14a8b16448
15685537b5
hex42c71450

1120343120 has 80 divisors (see below), whose sum is σ = 2816017680. Its totient is φ = 412065792.

The previous prime is 1120343117. The next prime is 1120343177. The reversal of 1120343120 is 213430211.

It can be written as a sum of positive squares in 8 ways, for example, as 116467264 + 1003875856 = 10792^2 + 31684^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 286136 + ... + 290024.

It is an arithmetic number, because the mean of its divisors is an integer number (35200221).

Almost surely, 21120343120 is an apocalyptic number.

1120343120 is a gapful number since it is divisible by the number (10) 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 1120343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408008840).

1120343120 is an abundant number, since it is smaller than the sum of its proper divisors (1695674560).

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

1120343120 is a wasteful number, since it uses less digits than its factorization.

1120343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1120343120 is about 33471.5270043062. The cubic root of 1120343120 is about 1038.6048600528.

Adding to 1120343120 its reverse (213430211), we get a palindrome (1333773331).

The spelling of 1120343120 in words is "one billion, one hundred twenty million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 277 520 554 1040 1108 1385 2216 2770 3601 3889 4432 5540 7202 7778 11080 14404 15556 18005 19445 22160 28808 31112 36010 38890 50557 57616 62224 72020 77780 101114 144040 155560 202228 252785 288080 311120 404456 505570 808912 1011140 1077253 2022280 2154506 4044560 4309012 5386265 8618024 10772530 14004289 17236048 21545060 28008578 43090120 56017156 70021445 86180240 112034312 140042890 224068624 280085780 560171560 1120343120