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1330322240 = 265131916831
BaseRepresentation
bin100111101001011…
…0001101101000000
310102201020101001002
41033102301231000
510211030302430
6340001231132
744652360332
oct11722615500
93381211032
101330322240
11622a28875
123116324a8
131827c3830
14c8975452
157bbce845
hex4f4b1b40

1330322240 has 112 divisors (see below), whose sum is σ = 3591275520. Its totient is φ = 465315840.

The previous prime is 1330322239. The next prime is 1330322299. The reversal of 1330322240 is 422230331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70625 + ... + 87455.

It is an arithmetic number, because the mean of its divisors is an integer number (32064960).

Almost surely, 21330322240 is an apocalyptic number.

1330322240 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 1330322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795637760).

1330322240 is an abundant number, since it is smaller than the sum of its proper divisors (2260953280).

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

1330322240 is a wasteful number, since it uses less digits than its factorization.

1330322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16880 (or 16870 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 1330322240 is about 36473.5827689028. The cubic root of 1330322240 is about 1099.8132575555.

Adding to 1330322240 its reverse (422230331), we get a palindrome (1752552571).

The spelling of 1330322240 in words is "one billion, three hundred thirty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 832 988 1040 1216 1235 1520 1976 2080 2470 3040 3952 4160 4940 6080 7904 9880 15808 16831 19760 33662 39520 67324 79040 84155 134648 168310 218803 269296 319789 336620 437606 538592 639578 673240 875212 1077184 1094015 1279156 1346480 1598945 1750424 2188030 2558312 2692960 3197890 3500848 4157257 4376060 5116624 5385920 6395780 7001696 8314514 8752120 10233248 12791560 14003392 16629028 17504240 20466496 20786285 25583120 33258056 35008480 41572570 51166240 66516112 70016960 83145140 102332480 133032224 166290280 266064448 332580560 665161120 1330322240