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56301120 = 26325113173
BaseRepresentation
bin1101011011000…
…1011001000000
310220221101121200
43112301121000
5103403113440
65330421200
71252360131
oct326613100
9126841550
1056301120
1129864957
1216a31800
13b883495
147697c88
154e21c30
hex35b1640

56301120 has 168 divisors, whose sum is σ = 196495416. Its totient is φ = 14794752.

The previous prime is 56301107. The next prime is 56301121. The reversal of 56301120 is 2110365.

56301120 is a `hidden beast` number, since 5 + 630 + 11 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 53231616 = 1752^2 + 7296^2 .

It is a super-2 number, since 2×563011202 = 6339632226508800, which contains 22 as substring.

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 = 56301093 and 56301102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56301121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325354 + ... + 325526.

Almost surely, 256301120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98247708).

56301120 is an abundant number, since it is smaller than the sum of its proper divisors (140194296).

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

56301120 is a wasteful number, since it uses less digits than its factorization.

56301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56301120 is about 7503.4072260540. The cubic root of 56301120 is about 383.2707513883.

Adding to 56301120 its reverse (2110365), we get a palindrome (58411485).

The spelling of 56301120 in words is "fifty-six million, three hundred one thousand, one hundred twenty".