Search a number
-
+
1328128410 = 235710496029
BaseRepresentation
bin100111100101001…
…1010000110011010
310102120002220200010
41033022122012122
510210000102120
6335442222350
744624622330
oct11712320632
93376086603
101328128410
1162176a594
123109549b6
131822060cb
14c8563b50
157b8e97e0
hex4f29a19a

1328128410 has 64 divisors (see below), whose sum is σ = 3646944000. Its totient is φ = 303232512.

The previous prime is 1328128393. The next prime is 1328128421. The reversal of 1328128410 is 148218231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217276 + ... + 223304.

It is an arithmetic number, because the mean of its divisors is an integer number (56983500).

Almost surely, 21328128410 is an apocalyptic number.

1328128410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1328128410 is an abundant number, since it is smaller than the sum of its proper divisors (2318815590).

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

1328128410 is a wasteful number, since it uses less digits than its factorization.

1328128410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1328128410 is about 36443.4961275671. The cubic root of 1328128410 is about 1099.2083587879.

The spelling of 1328128410 in words is "one billion, three hundred twenty-eight million, one hundred twenty-eight thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1049 2098 3147 5245 6029 6294 7343 10490 12058 14686 15735 18087 22029 30145 31470 36174 36715 42203 44058 60290 73430 84406 90435 110145 126609 180870 211015 220290 253218 422030 633045 1266090 6324421 12648842 18973263 31622105 37946526 44270947 63244210 88541894 94866315 132812841 189732630 221354735 265625682 442709470 664064205 1328128410