Search a number
-
+
30132720640 = 210511571937
BaseRepresentation
bin11100000100000011…
…001101010000000000
32212210000000210212101
4130010003031100000
5443202434030030
621502012440144
72114500620331
oct340403152000
985700023771
1030132720640
1111863154010
125a0b479054
132ac2a24019
14165bd16288
15bb55e37ca
hex7040cd400

30132720640 has 176 divisors, whose sum is σ = 79076821824. Its totient is φ = 10926489600.

The previous prime is 30132720623. The next prime is 30132720689. The reversal of 30132720640 is 4602723103.

It is a tau number, because it is divible by the number of its divisors (176).

It is a junction number, because it is equal to n+sod(n) for n = 30132720599 and 30132720608.

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, 32158252 + ... + 32159188.

It is an arithmetic number, because the mean of its divisors is an integer number (449300124).

Almost surely, 230132720640 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 30132720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39538410912).

30132720640 is an abundant number, since it is smaller than the sum of its proper divisors (48944101184).

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

30132720640 is a wasteful number, since it uses less digits than its factorization.

30132720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 30132720640 in words is "thirty billion, one hundred thirty-two million, seven hundred twenty thousand, six hundred forty".