Search a number
-
+
128550240 = 25345713109
BaseRepresentation
bin1111010100110…
…00010101100000
322221220000210000
413222120111200
5230402101430
620431140000
73120442020
oct752302540
9287800700
10128550240
1166621775
1237074600
132082b940
1413103a80
15b443e60
hex7a98560

128550240 has 480 divisors, whose sum is σ = 563492160. Its totient is φ = 26873856.

The previous prime is 128550239. The next prime is 128550259. The reversal of 128550240 is 42055821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 654 × 546 × 360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179306 + ... + 1179414.

It is an arithmetic number, because the mean of its divisors is an integer number (1173942).

Almost surely, 2128550240 is an apocalyptic number.

128550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281746080).

128550240 is an abundant number, since it is smaller than the sum of its proper divisors (434941920).

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

128550240 is a wasteful number, since it uses less digits than its factorization.

128550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 128550240 is about 11337.9998236020. Note that the first 3 decimals coincide. The cubic root of 128550240 is about 504.6895323973.

The spelling of 128550240 in words is "one hundred twenty-eight million, five hundred fifty thousand, two hundred forty".