Search a number
-
+
30287520000 = 2835541941
BaseRepresentation
bin11100001101010001…
…101110000100000000
32220011210022102200000
4130031101232010000
5444012101120000
621525222400000
72121360446403
oct341521560400
986153272600
1030287520000
1111932574071
125a53290000
132b18b1358a
1416746cdd3a
15bc3ec0000
hex70d46e100

30287520000 has 1080 divisors, whose sum is σ = 122026064160. Its totient is φ = 7464960000.

The previous prime is 30287519921. The next prime is 30287520017. The reversal of 30287520000 is 2578203.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 738719980 + ... + 738720020.

Almost surely, 230287520000 is an apocalyptic number.

30287520000 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 30287520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61013032080).

30287520000 is an abundant number, since it is smaller than the sum of its proper divisors (91738544160).

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

30287520000 is an frugal number, since it uses more digits than its factorization.

30287520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 30287520000 in words is "thirty billion, two hundred eighty-seven million, five hundred twenty thousand".