Search a number
-
+
1280229120 = 28325195849
BaseRepresentation
bin100110001001110…
…1011111100000000
310022012222101012100
41030103223330000
510110214312440
6331011430400
743503524262
oct11423537400
93265871170
101280229120
115a77240a5
122b88b5400
13175304c31
14c2055b32
15775d7230
hex4c4ebf00

1280229120 has 216 divisors, whose sum is σ = 4663386000. Its totient is φ = 323371008.

The previous prime is 1280229113. The next prime is 1280229121. The reversal of 1280229120 is 219220821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280229121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215956 + ... + 221804.

It is an arithmetic number, because the mean of its divisors is an integer number (21589750).

Almost surely, 21280229120 is an apocalyptic number.

1280229120 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 1280229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331693000).

1280229120 is an abundant number, since it is smaller than the sum of its proper divisors (3383156880).

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

1280229120 is a wasteful number, since it uses less digits than its factorization.

1280229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1280229120 is about 35780.2895460615. The cubic root of 1280229120 is about 1085.8318268733.

Adding to 1280229120 its reverse (219220821), we get a palindrome (1499449941).

It can be divided in two parts, 1280 and 229120, that added together give a square (230400 = 4802).

The spelling of 1280229120 in words is "one billion, two hundred eighty million, two hundred twenty-nine thousand, one hundred twenty".