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1120560144 = 2431114331481
BaseRepresentation
bin100001011001010…
…0110010000010000
32220002112100112120
41002302212100100
54243330411034
6303105254240
736524414124
oct10262462020
92802470476
101120560144
11525588470
12273334380
1314b1cc052
14a8b71584
1568597c49
hex42ca6410

1120560144 has 80 divisors (see below), whose sum is σ = 3162279744. Its totient is φ = 339097600.

The previous prime is 1120560139. The next prime is 1120560149. The reversal of 1120560144 is 4410650211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1120560139) and next prime (1120560149).

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

It is not an unprimeable number, because it can be changed into a prime (1120560149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 755884 + ... + 757364.

Almost surely, 21120560144 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 1120560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1581139872).

1120560144 is an abundant number, since it is smaller than the sum of its proper divisors (2041719600).

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

1120560144 is a wasteful number, since it uses less digits than its factorization.

1120560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1120560144 is about 33474.7687669385. The cubic root of 1120560144 is about 1038.6719191600.

The spelling of 1120560144 in words is "one billion, one hundred twenty million, five hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1433 1481 2866 2962 4299 4443 5732 5924 8598 8886 11464 11848 15763 16291 17196 17772 22928 23696 31526 32582 34392 35544 47289 48873 63052 65164 68784 71088 94578 97746 126104 130328 189156 195492 252208 260656 378312 390984 756624 781968 2122273 4244546 6366819 8489092 12733638 16978184 23345003 25467276 33956368 46690006 50934552 70035009 93380012 101869104 140070018 186760024 280140036 373520048 560280072 1120560144