Search a number
-
+
30772000980 = 22335727389179
BaseRepresentation
bin11100101010001001…
…110111100011010100
32221102112221121122000
4130222021313203110
51001010113012410
622045250435300
72136362456400
oct345211674324
987375847560
1030772000980
1112060aa0876
125b69592b30
132b952c3a06
1416bcba6100
15c017bedc0
hex72a2778d4

30772000980 has 576 divisors, whose sum is σ = 114797088000. Its totient is φ = 6820982784.

The previous prime is 30772000967. The next prime is 30772001021. The reversal of 30772000980 is 8900027703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 171910531 + ... + 171910709.

It is an arithmetic number, because the mean of its divisors is an integer number (199300500).

Almost surely, 230772000980 is an apocalyptic number.

30772000980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 175419×175420.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30772000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398544000).

30772000980 is an abundant number, since it is smaller than the sum of its proper divisors (84025087020).

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

30772000980 is a wasteful number, since it uses less digits than its factorization.

30772000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 30772000980 in words is "thirty billion, seven hundred seventy-two million, nine hundred eighty", and thus it is an aban number.