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3000132520 = 235711977997
BaseRepresentation
bin1011001011010010…
…0110001110101000
321202002021112010021
42302310212032220
522121013220040
61213411130224
7134226464020
oct26264461650
97662245107
103000132520
1112aa550a70
126b88a3974
1338a72c958
1420663ca80
151285bd24a
hexb2d263a8

3000132520 has 128 divisors (see below), whose sum is σ = 8433020160. Its totient is φ = 933212160.

The previous prime is 3000132491. The next prime is 3000132587. The reversal of 3000132520 is 252310003.

It is a junction number, because it is equal to n+sod(n) for n = 3000132494 and 3000132503.

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, 3008662 + ... + 3009658.

It is an arithmetic number, because the mean of its divisors is an integer number (65882970).

Almost surely, 23000132520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216510080).

3000132520 is an abundant number, since it is smaller than the sum of its proper divisors (5432887640).

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

3000132520 is a wasteful number, since it uses less digits than its factorization.

3000132520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3000132520 is about 54773.4654737127. The cubic root of 3000132520 is about 1442.2708063184.

Adding to 3000132520 its reverse (252310003), we get a palindrome (3252442523).

The spelling of 3000132520 in words is "three billion, one hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 977 997 1540 1954 1994 3080 3908 3988 4885 4985 6839 6979 7816 7976 9770 9970 10747 10967 13678 13958 19540 19940 21494 21934 27356 27916 34195 34895 39080 39880 42988 43868 53735 54712 54835 55832 68390 69790 75229 76769 85976 87736 107470 109670 136780 139580 150458 153538 214940 219340 273560 279160 300916 307076 376145 383845 429880 438680 601832 614152 752290 767690 974069 1504580 1535380 1948138 3009160 3070760 3896276 4870345 6818483 7792552 9740690 10714759 13636966 19481380 21429518 27273932 34092415 38962760 42859036 53573795 54547864 68184830 75003313 85718072 107147590 136369660 150006626 214295180 272739320 300013252 375016565 428590360 600026504 750033130 1500066260 3000132520