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3055741920 = 25325721131127
BaseRepresentation
bin1011011000100010…
…1110101111100000
321212221220202212200
42312020232233200
522224232220140
61223115053200
7135503243400
oct26610565740
97787822780
103055741920
111328983150
12713441200
1339910031a
1420db96800
1512d405030
hexb622ebe0

3055741920 has 864 divisors, whose sum is σ = 13767376896. Its totient is φ = 609638400.

The previous prime is 3055741873. The next prime is 3055741921. The reversal of 3055741920 is 291475503.

3055741920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3055741921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24060897 + ... + 24061023.

It is an arithmetic number, because the mean of its divisors is an integer number (15934464).

Almost surely, 23055741920 is an apocalyptic number.

3055741920 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 3055741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883688448).

3055741920 is an abundant number, since it is smaller than the sum of its proper divisors (10711634976).

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

3055741920 is a wasteful number, since it uses less digits than its factorization.

3055741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3055741920 is about 55278.7655433802. The cubic root of 3055741920 is about 1451.1274497179.

The spelling of 3055741920 in words is "three billion, fifty-five million, seven hundred forty-one thousand, nine hundred twenty".