Search a number
-
+
1325353140 = 223257363073
BaseRepresentation
bin100111011111111…
…0100100010110100
310102100212220201100
41032333310202310
510203242300030
6335302530100
744562213216
oct11677644264
93370786640
101325353140
11620144481
1230ba36930
13181773b37
14c80405b6
157b54c360
hex4eff48b4

1325353140 has 36 divisors (see below), whose sum is σ = 4020238404. Its totient is φ = 353427456.

The previous prime is 1325353129. The next prime is 1325353147. The reversal of 1325353140 is 413535231.

It can be written as a sum of positive squares in 2 ways, for example, as 1039675536 + 285677604 = 32244^2 + 16902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325353147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3681357 + ... + 3681716.

It is an arithmetic number, because the mean of its divisors is an integer number (111673289).

Almost surely, 21325353140 is an apocalyptic number.

1325353140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325353140 is an abundant number, since it is smaller than the sum of its proper divisors (2694885264).

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

1325353140 is a wasteful number, since it uses less digits than its factorization.

1325353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363088 (or 7363083 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1325353140 is about 36405.3998741945. The cubic root of 1325353140 is about 1098.4421860585.

Adding to 1325353140 its reverse (413535231), we get a palindrome (1738888371).

The spelling of 1325353140 in words is "one billion, three hundred twenty-five million, three hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7363073 14726146 22089219 29452292 36815365 44178438 66267657 73630730 88356876 110446095 132535314 147261460 220892190 265070628 331338285 441784380 662676570 1325353140