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3000133140 = 2235174762581
BaseRepresentation
bin1011001011010010…
…0110011000010100
321202002021112222020
42302310212120110
522121013230030
61213411133140
7134226465564
oct26264463024
97662245866
103000133140
1112aa551484
126b88a41b0
1338a730014
1420663cda4
151285bd510
hexb2d26614

3000133140 has 96 divisors (see below), whose sum is σ = 9083902464. Its totient is φ = 736942080.

The previous prime is 3000133069. The next prime is 3000133153. The reversal of 3000133140 is 413310003.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 16650 + ... + 79230.

It is an arithmetic number, because the mean of its divisors is an integer number (94623984).

Almost surely, 23000133140 is an apocalyptic number.

3000133140 is a gapful number since it is divisible by the number (30) 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 3000133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541951232).

3000133140 is an abundant number, since it is smaller than the sum of its proper divisors (6083769324).

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

3000133140 is a wasteful number, since it uses less digits than its factorization.

3000133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62657 (or 62655 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3000133140 is about 54773.4711333872. The cubic root of 3000133140 is about 1442.2709056704.

Adding to 3000133140 its reverse (413310003), we get a palindrome (3413443143).

The spelling of 3000133140 in words is "three billion, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 2397 2820 3196 3995 4794 7990 9588 11985 15980 23970 47940 62581 125162 187743 250324 312905 375486 625810 750972 938715 1063877 1251620 1877430 2127754 2941307 3191631 3754860 4255508 5319385 5882614 6383262 8823921 10638770 11765228 12766524 14706535 15958155 17647842 21277540 29413070 31916310 35295684 44119605 50002219 58826140 63832620 88239210 100004438 150006657 176478420 200008876 250011095 300013314 500022190 600026628 750033285 1000044380 1500066570 3000133140