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3054021120 = 29325415361
BaseRepresentation
bin1011011000001000…
…1010101000000000
321212211200100101100
42312002022220000
522223312133440
61223014134400
7135452515443
oct26602125000
97784610340
103054021120
111327a082a7
12712951400
13398949cb7
1420d86965a
1512d1b5230
hexb608aa00

3054021120 has 480 divisors, whose sum is σ = 11220313104. Its totient is φ = 766771200.

The previous prime is 3054021097. The next prime is 3054021127. The reversal of 3054021120 is 211204503.

3054021120 is a `hidden beast` number, since 3 + 0 + 540 + 2 + 1 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 179345664 + 2874675456 = 13392^2 + 53616^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3054021093 and 3054021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3054021127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50065890 + ... + 50065950.

Almost surely, 23054021120 is an apocalyptic number.

3054021120 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 3054021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610156552).

3054021120 is an abundant number, since it is smaller than the sum of its proper divisors (8166291984).

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

3054021120 is a wasteful number, since it uses less digits than its factorization.

3054021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3054021120 is about 55263.1986044963. The cubic root of 3054021120 is about 1450.8550042623.

Adding to 3054021120 its reverse (211204503), we get a palindrome (3265225623).

The spelling of 3054021120 in words is "three billion, fifty-four million, twenty-one thousand, one hundred twenty".