Search a number
-
+
1330220280 = 2335103281383
BaseRepresentation
bin100111101001001…
…1000110011111000
310102201001012011210
41033102120303320
510211014022110
6335555123120
744651454144
oct11722306370
93381035153
101330220280
11622969204
123115a34a0
131827892bc
14c894a224
157bbae520
hex4f498cf8

1330220280 has 128 divisors (see below), whose sum is σ = 4054302720. Its totient is φ = 349117440.

The previous prime is 1330220279. The next prime is 1330220299. The reversal of 1330220280 is 820220331.

It is a congruent number.

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, 3472969 + ... + 3473351.

It is an arithmetic number, because the mean of its divisors is an integer number (31674240).

Almost surely, 21330220280 is an apocalyptic number.

1330220280 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 1330220280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027151360).

1330220280 is an abundant number, since it is smaller than the sum of its proper divisors (2724082440).

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

1330220280 is a wasteful number, since it uses less digits than its factorization.

1330220280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1330220280 is about 36472.1850181752. The cubic root of 1330220280 is about 1099.7851591441.

The spelling of 1330220280 in words is "one billion, three hundred thirty million, two hundred twenty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 281 309 383 412 515 562 618 766 824 843 1030 1124 1149 1236 1405 1532 1545 1686 1915 2060 2248 2298 2472 2810 3064 3090 3372 3830 4120 4215 4596 5620 5745 6180 6744 7660 8430 9192 11240 11490 12360 15320 16860 22980 28943 33720 39449 45960 57886 78898 86829 107623 115772 118347 144715 157796 173658 197245 215246 231544 236694 289430 315592 322869 347316 394490 430492 434145 473388 538115 578860 591735 645738 694632 788980 860984 868290 946776 1076230 1157720 1183470 1291476 1577960 1614345 1736580 2152460 2366940 2582952 3228690 3473160 4304920 4733880 6457380 11085169 12914760 22170338 33255507 44340676 55425845 66511014 88681352 110851690 133022028 166277535 221703380 266044056 332555070 443406760 665110140 1330220280