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3020969952 = 2533721113499
BaseRepresentation
bin1011010000010000…
…0101011111100000
321210112111011201000
42310010011133200
522141332014302
61215433512000
7134601551400
oct26404053740
97715434630
103020969952
111310293490
12703872600
13391b472b0
14209304800
1512a33731c
hexb41057e0

3020969952 has 576 divisors, whose sum is σ = 12065760000. Its totient is φ = 722856960.

The previous prime is 3020969881. The next prime is 3020969953. The reversal of 3020969952 is 2599690203.

It is a junction number, because it is equal to n+sod(n) for n = 3020969898 and 3020969907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020969953) 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 95 ways as a sum of consecutive naturals, for example, 6053799 + ... + 6054297.

It is an arithmetic number, because the mean of its divisors is an integer number (20947500).

Almost surely, 23020969952 is an apocalyptic number.

3020969952 is a gapful number since it is divisible by the number (32) 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 3020969952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032880000).

3020969952 is an abundant number, since it is smaller than the sum of its proper divisors (9044790048).

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

3020969952 is a wasteful number, since it uses less digits than its factorization.

3020969952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3020969952 is about 54963.3509895458. The cubic root of 3020969952 is about 1445.6022045860.

The spelling of 3020969952 in words is "three billion, twenty million, nine hundred sixty-nine thousand, nine hundred fifty-two".