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1120107024 = 243227892
BaseRepresentation
bin100001011000011…
…0111101000010000
32220001200022222100
41002300313220100
54243221411044
6303051440400
736520516101
oct10260675020
92801608870
101120107024
115252a8a93
12273156100
1314b0a0a2a
14a8a943a8
1568508869
hex42c37a10

1120107024 has 45 divisors (see below), whose sum is σ = 3135868333. Its totient is φ = 373235136.

The previous prime is 1120107017. The next prime is 1120107029. The reversal of 1120107024 is 4207010211.

The square root of 1120107024 is 33468.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 703947024 + 416160000 = 26532^2 + 20400^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120106988 and 1120107006.

It is not an unprimeable number, because it can be changed into a prime (1120107029) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 400222 + ... + 403010.

Almost surely, 21120107024 is an apocalyptic number.

1120107024 is the 33468-th square number.

It is an amenable number.

1120107024 is an abundant number, since it is smaller than the sum of its proper divisors (2015761309).

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

1120107024 is an frugal number, since it uses more digits than its factorization.

1120107024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The cubic root of 1120107024 is about 1038.5318979767.

Adding to 1120107024 its reverse (4207010211), we get a palindrome (5327117235).

The spelling of 1120107024 in words is "one billion, one hundred twenty million, one hundred seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2789 5578 8367 11156 16734 22312 25101 33468 44624 50202 66936 100404 133872 200808 401616 7778521 15557042 23335563 31114084 46671126 62228168 70006689 93342252 124456336 140013378 186684504 280026756 373369008 560053512 1120107024