Search a number
-
+
2970030960 = 2432513535987
BaseRepresentation
bin1011000100000111…
…0001001101110000
321122222122012112200
42301001301031300
522040311442320
61210414023200
7133412563251
oct26101611560
97588565480
102970030960
111294561246
126aa7a7b00
13384420690
14202644b28
15125b24290
hexb1071370

2970030960 has 240 divisors, whose sum is σ = 10946111904. Its totient is φ = 717170688.

The previous prime is 2970030953. The next prime is 2970030967. The reversal of 2970030960 is 690300792.

2970030960 is a `hidden beast` number, since 297 + 0 + 0 + 309 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2970030953) and next prime (2970030967).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970030967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 493087 + ... + 499073.

Almost surely, 22970030960 is an apocalyptic number.

2970030960 is a gapful number since it is divisible by the number (20) 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 2970030960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473055952).

2970030960 is an abundant number, since it is smaller than the sum of its proper divisors (7976080944).

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

2970030960 is a wasteful number, since it uses less digits than its factorization.

2970030960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 2970030960 is about 54497.9904216660. The cubic root of 2970030960 is about 1437.4309517937.

The spelling of 2970030960 in words is "two billion, nine hundred seventy million, thirty thousand, nine hundred sixty".