Search a number
-
+
1332020112 = 243291098779
BaseRepresentation
bin100111101100101…
…0000001110010000
310102211102122002020
41033121100032100
510211444120422
6340101451440
745002661363
oct11731201620
93384378066
101332020112
11623988475
12312110b80
13182c695a7
14c8c980da
157be1795c
hex4f650390

1332020112 has 80 divisors (see below), whose sum is σ = 3592776000. Its totient is φ = 424714752.

The previous prime is 1332020111. The next prime is 1332020117. The reversal of 1332020112 is 2110202331.

It is a junction number, because it is equal to n+sod(n) for n = 1332020091 and 1332020100.

It is not an unprimeable number, because it can be changed into a prime (1332020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147339 + ... + 156117.

It is an arithmetic number, because the mean of its divisors is an integer number (44909700).

Almost surely, 21332020112 is an apocalyptic number.

1332020112 is a gapful number since it is divisible by the number (12) 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 1332020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796388000).

1332020112 is an abundant number, since it is smaller than the sum of its proper divisors (2260755888).

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

1332020112 is a wasteful number, since it uses less digits than its factorization.

1332020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1332020112 is about 36496.8507134520. The cubic root of 1332020112 is about 1100.2809508258.

Adding to 1332020112 its reverse (2110202331), we get a palindrome (3442222443).

The spelling of 1332020112 in words is "one billion, three hundred thirty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 109 116 174 218 232 327 348 436 464 654 696 872 1308 1392 1744 2616 3161 5232 6322 8779 9483 12644 17558 18966 25288 26337 35116 37932 50576 52674 70232 75864 105348 140464 151728 210696 254591 421392 509182 763773 956911 1018364 1527546 1913822 2036728 2870733 3055092 3827644 4073456 5741466 6110184 7655288 11482932 12220368 15310576 22965864 27750419 45931728 55500838 83251257 111001676 166502514 222003352 333005028 444006704 666010056 1332020112