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60256560 = 24357133189
BaseRepresentation
bin1110010111011…
…1000100110000
311012101100110110
43211313010300
5110411202220
65551301320
71331113050
oct345670460
9135340413
1060256560
1131016711
121821a840
13c639990
148007560
155453be0
hex3977130

60256560 has 320 divisors, whose sum is σ = 239984640. Its totient is φ = 12165120.

The previous prime is 60256549. The next prime is 60256583. The reversal of 60256560 is 6565206.

60256560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 676996 + ... + 677084.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 260256560 is an apocalyptic number.

60256560 is a gapful number since it is divisible by the number (60) 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 60256560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

60256560 is an abundant number, since it is smaller than the sum of its proper divisors (179728080).

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

60256560 is a wasteful number, since it uses less digits than its factorization.

60256560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 60256560 is about 7762.5099033753. The cubic root of 60256560 is about 392.0439698006.

The spelling of 60256560 in words is "sixty million, two hundred fifty-six thousand, five hundred sixty".