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3000153420 = 22325111515229
BaseRepresentation
bin1011001011010010…
…1011010101001100
321202002022120210100
42302310223111030
522121014402140
61213411411100
7134226611655
oct26264532514
97662276710
103000153420
1112aa565740
126b88b3a90
1338a739314
1420664652c
151285c4530
hexb2d2b54c

3000153420 has 72 divisors (see below), whose sum is σ = 9927786960. Its totient is φ = 727309440.

The previous prime is 3000153383. The next prime is 3000153439. The reversal of 3000153420 is 243510003.

3000153420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3000153393 and 3000153402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 755635 + ... + 759594.

It is an arithmetic number, because the mean of its divisors is an integer number (137885930).

Almost surely, 23000153420 is an apocalyptic number.

3000153420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000153420 is an abundant number, since it is smaller than the sum of its proper divisors (6927633540).

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

3000153420 is a wasteful number, since it uses less digits than its factorization.

3000153420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515255 (or 1515250 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3000153420 is about 54773.6562591909. The cubic root of 3000153420 is about 1442.2741554360.

Adding to 3000153420 its reverse (243510003), we get a palindrome (3243663423).

The spelling of 3000153420 in words is "three billion, one hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 1515229 3030458 4545687 6060916 7576145 9091374 13637061 15152290 16667519 18182748 22728435 27274122 30304580 33335038 45456870 50002557 54548244 66670076 68185305 83337595 90913740 100005114 136370610 150007671 166675190 200010228 250012785 272741220 300015342 333350380 500025570 600030684 750038355 1000051140 1500076710 3000153420