Search a number
-
+
30055236720 = 2435631198463
BaseRepresentation
bin11011111111011011…
…101000010001110000
32212120121020012220120
4123333123220101300
5443023120033340
621450204010240
72112540203565
oct337733502160
985517205816
1030055236720
1111823441213
1259a9530980
132aac964c52
14165190686c
15bad8da4d0
hex6ff6e8470

30055236720 has 80 divisors (see below), whose sum is σ = 93319360512. Its totient is φ = 8001987840.

The previous prime is 30055236719. The next prime is 30055236733. The reversal of 30055236720 is 2763255003.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×300552367203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52209 + ... + 250671.

Almost surely, 230055236720 is an apocalyptic number.

30055236720 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 30055236720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46659680256).

30055236720 is an abundant number, since it is smaller than the sum of its proper divisors (63264123792).

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

30055236720 is a wasteful number, since it uses less digits than its factorization.

30055236720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199110 (or 199104 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The spelling of 30055236720 in words is "thirty billion, fifty-five million, two hundred thirty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 631 1262 1893 2524 3155 3786 5048 6310 7572 9465 10096 12620 15144 18930 25240 30288 37860 50480 75720 151440 198463 396926 595389 793852 992315 1190778 1587704 1984630 2381556 2976945 3175408 3969260 4763112 5953890 7938520 9526224 11907780 15877040 23815560 47631120 125230153 250460306 375690459 500920612 626150765 751380918 1001841224 1252301530 1502761836 1878452295 2003682448 2504603060 3005523672 3756904590 5009206120 6011047344 7513809180 10018412240 15027618360 30055236720