Search a number
-
+
1120522020 = 2235172634177
BaseRepresentation
bin100001011001001…
…1100111100100100
32220002110102020120
41002302130330210
54243323201040
6303104401540
736524165022
oct10262347444
92802412216
101120522020
11525561862
122733162b0
1314b1b78a7
14a8b61712
156858b7d0
hex42c9cf24

1120522020 has 96 divisors (see below), whose sum is σ = 3335447808. Its totient is φ = 280092672.

The previous prime is 1120522019. The next prime is 1120522043. The reversal of 1120522020 is 202250211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266172 + ... + 270348.

It is an arithmetic number, because the mean of its divisors is an integer number (34744248).

Almost surely, 21120522020 is an apocalyptic number.

1120522020 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 1120522020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667723904).

1120522020 is an abundant number, since it is smaller than the sum of its proper divisors (2214925788).

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

1120522020 is a wasteful number, since it uses less digits than its factorization.

1120522020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4469 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1120522020 is about 33474.1993182809. The cubic root of 1120522020 is about 1038.6601397009.

Adding to 1120522020 its reverse (202250211), we get a palindrome (1322772231).

Subtracting from 1120522020 its reverse (202250211), we obtain a square (918271809 = 303032).

The spelling of 1120522020 in words is "one billion, one hundred twenty million, five hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 263 340 510 526 789 1020 1052 1315 1578 2630 3156 3945 4177 4471 5260 7890 8354 8942 12531 13413 15780 16708 17884 20885 22355 25062 26826 41770 44710 50124 53652 62655 67065 71009 83540 89420 125310 134130 142018 213027 250620 268260 284036 355045 426054 710090 852108 1065135 1098551 1420180 2130270 2197102 3295653 4260540 4394204 5492755 6591306 10985510 13182612 16478265 18675367 21971020 32956530 37350734 56026101 65913060 74701468 93376835 112052202 186753670 224104404 280130505 373507340 560261010 1120522020