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55023360 = 283572389
BaseRepresentation
bin1101000111100…
…1011100000000
310211112110212020
43101321130000
5103041221420
65243201440
71235455650
oct321713400
9124473766
1055023360
1129071957
1216516280
13b526a02
147444360
154c6d340
hex3479700

55023360 has 288 divisors, whose sum is σ = 211921920. Its totient is φ = 11894784.

The previous prime is 55023313. The next prime is 55023377. The reversal of 55023360 is 6332055.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 55023360.

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 31 ways as a sum of consecutive naturals, for example, 618196 + ... + 618284.

It is an arithmetic number, because the mean of its divisors is an integer number (735840).

Almost surely, 255023360 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 55023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105960960).

55023360 is an abundant number, since it is smaller than the sum of its proper divisors (156898560).

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

55023360 is a wasteful number, since it uses less digits than its factorization.

55023360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 55023360 is about 7417.7732507809. The cubic root of 55023360 is about 380.3490790430.

The spelling of 55023360 in words is "fifty-five million, twenty-three thousand, three hundred sixty".