Search a number
-
+
1328132808 = 233319973079
BaseRepresentation
bin100111100101001…
…1011001011001000
310102120010010201000
41033022123023020
510210000222213
6335442255000
744624641212
oct11712331310
93376103630
101328132808
11621772922
12310957460
13182208102
14c85655b2
157b8eac73
hex4f29b2c8

1328132808 has 64 divisors (see below), whose sum is σ = 3692304000. Its totient is φ = 442345536.

The previous prime is 1328132801. The next prime is 1328132821. The reversal of 1328132808 is 8082318231.

1328132808 is a `hidden beast` number, since 1 + 328 + 1 + 328 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1328132801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429813 + ... + 432891.

It is an arithmetic number, because the mean of its divisors is an integer number (57692250).

Almost surely, 21328132808 is an apocalyptic number.

1328132808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1328132808 is an abundant number, since it is smaller than the sum of its proper divisors (2364171192).

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

1328132808 is a wasteful number, since it uses less digits than its factorization.

1328132808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5091 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1328132808 is about 36443.5564675019. The cubic root of 1328132808 is about 1099.2095721025.

The spelling of 1328132808 in words is "one billion, three hundred twenty-eight million, one hundred thirty-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1997 3079 3994 5991 6158 7988 9237 11982 12316 15976 17973 18474 23964 24632 27711 35946 36948 47928 53919 55422 71892 73896 83133 107838 110844 143784 166266 215676 221688 332532 431352 665064 6148763 12297526 18446289 24595052 36892578 49190104 55338867 73785156 110677734 147570312 166016601 221355468 332033202 442710936 664066404 1328132808