Search a number
-
+
30076942560 = 2535716354917
BaseRepresentation
bin11100000000101110…
…011011100011100000
32212122010001222201120
4130000232123203200
5443044144130220
621452301132240
72113222536120
oct340056334340
985563058646
1030076942560
1111834717125
1259b485a080
132ab42c4942
141654756c80
15bb0776a40
hex700b9b8e0

30076942560 has 192 divisors, whose sum is σ = 108943252992. Its totient is φ = 6832429056.

The previous prime is 30076942559. The next prime is 30076942573. The reversal of 30076942560 is 6524967003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 520222 + ... + 575138.

It is an arithmetic number, because the mean of its divisors is an integer number (567412776).

Almost surely, 230076942560 is an apocalyptic number.

30076942560 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 30076942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54471626496).

30076942560 is an abundant number, since it is smaller than the sum of its proper divisors (78866310432).

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

30076942560 is a wasteful number, since it uses less digits than its factorization.

30076942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55105 (or 55097 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 30076942560 in words is "thirty billion, seventy-six million, nine hundred forty-two thousand, five hundred sixty".