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55989120 = 2735112241
BaseRepresentation
bin1101010110010…
…1001110000000
310220100112122010
43111211032000
5103313122440
65320012520
71246620405
oct325451600
9126315563
1055989120
1129671500
1216901140
13b7a4475
1476162ac
154dae580
hex3565380

55989120 has 192 divisors, whose sum is σ = 196978320. Its totient is φ = 13516800.

The previous prime is 55989091. The next prime is 55989133. The reversal of 55989120 is 2198955.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 232200 + ... + 232440.

Almost surely, 255989120 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 55989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98489160).

55989120 is an abundant number, since it is smaller than the sum of its proper divisors (140989200).

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

55989120 is a wasteful number, since it uses less digits than its factorization.

55989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The square root of 55989120 is about 7482.5877876574. The cubic root of 55989120 is about 382.5614579363.

The spelling of 55989120 in words is "fifty-five million, nine hundred eighty-nine thousand, one hundred twenty".