Search a number
-
+
1330928028 = 2232172324111
BaseRepresentation
bin100111101010100…
…0101100110011100
310102202101011000200
41033111011212130
510211204144103
6340022223500
744660462433
oct11725054634
93382334020
101330928028
11623301a21
12311884b90
131829764a1
14c8a9211a
157bc9e0a3
hex4f54599c

1330928028 has 108 divisors (see below), whose sum is σ = 3724707168. Its totient is φ = 399294720.

The previous prime is 1330928023. The next prime is 1330928029. The reversal of 1330928028 is 8208290331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1330927983 and 1330928001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330928023) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321693 + ... + 325803.

Almost surely, 21330928028 is an apocalyptic number.

1330928028 is a gapful number since it is divisible by the number (18) 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 1330928028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862353584).

1330928028 is an abundant number, since it is smaller than the sum of its proper divisors (2393779140).

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

1330928028 is a wasteful number, since it uses less digits than its factorization.

1330928028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1330928028 is about 36481.8862999160. The cubic root of 1330928028 is about 1099.9801726454.

The spelling of 1330928028 in words is "one billion, three hundred thirty million, nine hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 529 612 782 828 1058 1173 1564 1587 2116 2346 3174 3519 4111 4692 4761 6348 7038 8222 8993 9522 12333 14076 16444 17986 19044 24666 26979 35972 36999 49332 53958 69887 73998 80937 94553 107916 139774 147996 161874 189106 209661 279548 283659 323748 378212 419322 567318 628983 838644 850977 1134636 1257966 1607401 1701954 2174719 2515932 3214802 3403908 4349438 4822203 6429604 6524157 8698876 9644406 13048314 14466609 19288812 19572471 26096628 28933218 36970223 39144942 57866436 73940446 78289884 110910669 147880892 221821338 332732007 443642676 665464014 1330928028