Search a number
-
+
1330514370 = 233541263457
BaseRepresentation
bin100111101001110…
…0000100111000010
310102201121010121000
41033103200213002
510211102424440
6340005312430
744654120433
oct11723404702
93381533530
101330514370
1162304a159
12311705716
13182860113
14c89c548a
157bc1b730
hex4f4e09c2

1330514370 has 128 divisors (see below), whose sum is σ = 3656378880. Its totient is φ = 344079360.

The previous prime is 1330514351. The next prime is 1330514417. The reversal of 1330514370 is 734150331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2911182 + ... + 2911638.

It is an arithmetic number, because the mean of its divisors is an integer number (28565460).

Almost surely, 21330514370 is an apocalyptic number.

1330514370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330514370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828189440).

1330514370 is an abundant number, since it is smaller than the sum of its proper divisors (2325864510).

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

1330514370 is a wasteful number, since it uses less digits than its factorization.

1330514370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1330514370 is about 36476.2164978771. The cubic root of 1330514370 is about 1099.8662013569.

The spelling of 1330514370 in words is "one billion, three hundred thirty million, five hundred fourteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 263 270 369 410 457 526 615 738 789 914 1107 1230 1315 1371 1578 1845 2214 2285 2367 2630 2742 3690 3945 4113 4570 4734 5535 6855 7101 7890 8226 10783 11070 11835 12339 13710 14202 18737 20565 21566 23670 24678 32349 35505 37474 41130 53915 56211 61695 64698 71010 93685 97047 107830 112422 120191 123390 161745 168633 187370 194094 240382 281055 291141 323490 337266 360573 485235 505899 562110 582282 600955 721146 843165 970470 1011798 1081719 1201910 1455705 1686330 1802865 2163438 2529495 2911410 3245157 3605730 4927831 5058990 5408595 6490314 9855662 10817190 14783493 16225785 24639155 29566986 32451570 44350479 49278310 73917465 88700958 133051437 147834930 221752395 266102874 443504790 665257185 1330514370