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990606000 = 243531071543
BaseRepresentation
bin111011000010110…
…111001010110000
32120000222222222010
4323002313022300
54012043343000
6242144042520
733356004066
oct7302671260
92500888863
10990606000
11469197a4a
12237903440
1312a2cb3c7
14957c4036
155be77d50
hex3b0b72b0

990606000 has 160 divisors (see below), whose sum is σ = 3225650688. Its totient is φ = 261523200.

The previous prime is 990605999. The next prime is 990606013. The reversal of 990606000 is 606099.

990606000 is digitally balanced in base 2, because in such base 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 (30).

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, 641229 + ... + 642771.

Almost surely, 2990606000 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 990606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612825344).

990606000 is an abundant number, since it is smaller than the sum of its proper divisors (2235044688).

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

990606000 is a wasteful number, since it uses less digits than its factorization.

990606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 990606000 is about 31473.8939440292. The cubic root of 990606000 is about 996.8588099230.

The spelling of 990606000 in words is "nine hundred ninety million, six hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 125 150 200 214 240 250 300 321 375 400 428 500 535 600 642 750 856 1000 1070 1200 1284 1500 1543 1605 1712 2000 2140 2568 2675 3000 3086 3210 4280 4629 5136 5350 6000 6172 6420 7715 8025 8560 9258 10700 12344 12840 13375 15430 16050 18516 21400 23145 24688 25680 26750 30860 32100 37032 38575 40125 42800 46290 53500 61720 64200 74064 77150 80250 92580 107000 115725 123440 128400 154300 160500 165101 185160 192875 214000 231450 308600 321000 330202 370320 385750 462900 495303 578625 617200 642000 660404 771500 825505 925800 990606 1157250 1320808 1543000 1651010 1851600 1981212 2314500 2476515 2641616 3086000 3302020 3962424 4127525 4629000 4953030 6604040 7924848 8255050 9258000 9906060 12382575 13208080 16510100 19812120 20637625 24765150 33020200 39624240 41275250 49530300 61912875 66040400 82550500 99060600 123825750 165101000 198121200 247651500 330202000 495303000 990606000