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2030066000 = 245331137239
BaseRepresentation
bin111100100000000…
…0101100101010000
312020110221001000122
41321000011211100
513124144103000
6533235205412
7101210163524
oct17100054520
95213831018
102030066000
11951a126a6
12487a46868
132647733b1
14153883d84
15bd351085
hex79005950

2030066000 has 160 divisors (see below), whose sum is σ = 5125386240. Its totient is φ = 776832000.

The previous prime is 2030065987. The next prime is 2030066011. The reversal of 2030066000 is 6600302.

It is a self number, because there is not a number n which added to its sum of digits gives 2030066000.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8493881 + ... + 8494119.

It is an arithmetic number, because the mean of its divisors is an integer number (32033664).

Almost surely, 22030066000 is an apocalyptic number.

2030066000 is a gapful number since it is divisible by the number (20) 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 2030066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562693120).

2030066000 is an abundant number, since it is smaller than the sum of its proper divisors (3095320240).

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

2030066000 is a wasteful number, since it uses less digits than its factorization.

2030066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2030066000 is about 45056.2537279788. The cubic root of 2030066000 is about 1266.2031391065.

Adding to 2030066000 its reverse (6600302), we get a palindrome (2036666302).

The spelling of 2030066000 in words is "two billion, thirty million, sixty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 137 155 200 239 248 250 274 310 400 478 496 500 548 620 685 775 956 1000 1096 1195 1240 1370 1550 1912 2000 2192 2390 2480 2740 3100 3425 3824 3875 4247 4780 5480 5975 6200 6850 7409 7750 8494 9560 10960 11950 12400 13700 14818 15500 16988 17125 19120 21235 23900 27400 29636 29875 31000 32743 33976 34250 37045 42470 47800 54800 59272 59750 62000 65486 67952 68500 74090 84940 95600 106175 118544 119500 130972 137000 148180 163715 169880 185225 212350 239000 261944 274000 296360 327430 339760 370450 424700 478000 523888 530875 592720 654860 740900 818575 849400 926125 1015033 1061750 1309720 1481800 1637150 1698800 1852250 2030066 2123500 2619440 2963600 3274300 3704500 4060132 4092875 4247000 5075165 6548600 7409000 8120264 8185750 8494000 10150330 13097200 14818000 16240528 16371500 20300660 25375825 32743000 40601320 50751650 65486000 81202640 101503300 126879125 203006600 253758250 406013200 507516500 1015033000 2030066000