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55021120 = 2657211229
BaseRepresentation
bin1101000111100…
…0111001000000
310211112100210021
43101320321000
5103041133440
65243143224
71235446300
oct321707100
9124470707
1055021120
1129070200
1216514b14
13b52599b
147443600
154c6c84a
hex3478e40

55021120 has 252 divisors, whose sum is σ = 173301660. Its totient is φ = 16558080.

The previous prime is 55021117. The next prime is 55021151. The reversal of 55021120 is 2112055.

It can be written as a sum of positive squares in 2 ways, for example, as 24285184 + 30735936 = 4928^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 55021094 and 55021103.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1897266 + ... + 1897294.

It is an arithmetic number, because the mean of its divisors is an integer number (687705).

Almost surely, 255021120 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 55021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86650830).

55021120 is an abundant number, since it is smaller than the sum of its proper divisors (118280540).

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

55021120 is a wasteful number, since it uses less digits than its factorization.

55021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 55021120 is about 7417.6222605361. The cubic root of 55021120 is about 380.3439176382.

Adding to 55021120 its reverse (2112055), we get a palindrome (57133175).

The spelling of 55021120 in words is "fifty-five million, twenty-one thousand, one hundred twenty".