Search a number
-
+
4530132320 = 255721394157
BaseRepresentation
bin1000011100000010…
…00101010101100000
3102200201020120021112
410032001011111200
533234203213240
62025304242452
7220155326600
oct41601052540
912621216245
104530132320
111a1516150a
12a65170428
135726c6a8c
1430d910c00
151b7a91665
hex10e045560

4530132320 has 144 divisors (see below), whose sum is σ = 12542357520. Its totient is φ = 1541643264.

The previous prime is 4530132293. The next prime is 4530132329. The reversal of 4530132320 is 232310354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4530132329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087682 + ... + 1091838.

It is an arithmetic number, because the mean of its divisors is an integer number (87099705).

Almost surely, 24530132320 is an apocalyptic number.

4530132320 is a gapful number since it is divisible by the number (40) 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 4530132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271178760).

4530132320 is an abundant number, since it is smaller than the sum of its proper divisors (8012225200).

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

4530132320 is a wasteful number, since it uses less digits than its factorization.

4530132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 4530132320 is about 67306.2576585565. The cubic root of 4530132320 is about 1654.6404198675.

Adding to 4530132320 its reverse (232310354), we get a palindrome (4762442674).

The spelling of 4530132320 in words is "four billion, five hundred thirty million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 139 140 160 196 224 245 278 280 392 490 556 560 695 784 973 980 1112 1120 1390 1568 1946 1960 2224 2780 3892 3920 4157 4448 4865 5560 6811 7784 7840 8314 9730 11120 13622 15568 16628 19460 20785 22240 27244 29099 31136 33256 34055 38920 41570 54488 58198 66512 68110 77840 83140 108976 116396 133024 136220 145495 155680 166280 203693 217952 232792 272440 290990 332560 407386 465584 544880 577823 581980 665120 814772 931168 1018465 1089760 1155646 1163960 1629544 2036930 2311292 2327920 2889115 3259088 4044761 4073860 4622584 4655840 5778230 6518176 8089522 8147720 9245168 11556460 16179044 16295440 18490336 20223805 23112920 28313327 32358088 32590880 40447610 46225840 56626654 64716176 80895220 92451680 113253308 129432352 141566635 161790440 226506616 283133270 323580880 453013232 566266540 647161760 906026464 1132533080 2265066160 4530132320