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60240 = 2435251
BaseRepresentation
bin1110101101010000
310001122010
432231100
53411430
61142520
7340425
oct165520
9101563
1060240
1141294
122aa40
132155b
1417d4c
1512cb0
hexeb50

60240 has 40 divisors (see below), whose sum is σ = 187488. Its totient is φ = 16000.

The previous prime is 60223. The next prime is 60251. The reversal of 60240 is 4206.

60240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

60240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 365.

260240 is an apocalyptic number.

60240 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 60240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

60240 is an abundant number, since it is smaller than the sum of its proper divisors (127248).

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

60240 is a wasteful number, since it uses less digits than its factorization.

60240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 60240 is about 245.4383833063. The cubic root of 60240 is about 39.2008052035.

Adding to 60240 its reverse (4206), we get a palindrome (64446).

It can be divided in two parts, 60 and 240, that multiplied together give a square (14400 = 1202).

The spelling of 60240 in words is "sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 251 502 753 1004 1255 1506 2008 2510 3012 3765 4016 5020 6024 7530 10040 12048 15060 20080 30120 60240