Search a number
-
+
55680120 = 23325154667
BaseRepresentation
bin1101010001100…
…1110001111000
310212202211202200
43110121301320
5103223230440
65305230200
71244162466
oct324316170
9125684680
1055680120
1129480331
1216792360
13b6c6922
147575836
154d4cc30
hex3519c78

55680120 has 48 divisors (see below), whose sum is σ = 180961560. Its totient is φ = 14847936.

The previous prime is 55680103. The next prime is 55680133. The reversal of 55680120 is 2108655.

55680120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76974 + ... + 77693.

Almost surely, 255680120 is an apocalyptic number.

It is an amenable number.

55680120 is an abundant number, since it is smaller than the sum of its proper divisors (125281440).

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

55680120 is a wasteful number, since it uses less digits than its factorization.

55680120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154684 (or 154677 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 55680120 is about 7461.9112833107. The cubic root of 55680120 is about 381.8563826961.

Adding to 55680120 its reverse (2108655), we get a palindrome (57788775).

The spelling of 55680120 in words is "fifty-five million, six hundred eighty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 154667 309334 464001 618668 773335 928002 1237336 1392003 1546670 1856004 2320005 2784006 3093340 3712008 4640010 5568012 6186680 6960015 9280020 11136024 13920030 18560040 27840060 55680120