Search a number
-
+
1325299820 = 2251315133757
BaseRepresentation
bin100111011111110…
…0111100001101100
310102100210012120112
41032333213201230
510203234043240
6335301435152
744561601605
oct11677474154
93370705515
101325299820
11620108409
1230ba0bab8
131817557a0
14c8028dac
157b53b665
hex4efe786c

1325299820 has 48 divisors (see below), whose sum is σ = 3017155008. Its totient is φ = 486086400.

The previous prime is 1325299819. The next prime is 1325299823. The reversal of 1325299820 is 289925231.

It is a super-2 number, since 2×13252998202 = 3512839225784064800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1325299823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22382 + ... + 56138.

It is an arithmetic number, because the mean of its divisors is an integer number (62857396).

Almost surely, 21325299820 is an apocalyptic number.

1325299820 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 1325299820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508577504).

1325299820 is an abundant number, since it is smaller than the sum of its proper divisors (1691855188).

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

1325299820 is a wasteful number, since it uses less digits than its factorization.

1325299820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33930 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 1325299820 is about 36404.6675578833. The cubic root of 1325299820 is about 1098.4274554631.

The spelling of 1325299820 in words is "one billion, three hundred twenty-five million, two hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 151 260 302 604 755 1510 1963 3020 3926 7852 9815 19630 33757 39260 67514 135028 168785 337570 438841 675140 877682 1755364 2194205 4388410 5097307 8776820 10194614 20389228 25486535 50973070 66264991 101946140 132529982 265059964 331324955 662649910 1325299820