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241680 = 24351953
BaseRepresentation
bin111011000000010000
3110021112010
4323000100
530213210
65102520
72024415
oct730020
9407463
10241680
1115563a
12b7a40
138600a
146410c
154b920
hex3b010

241680 has 80 divisors (see below), whose sum is σ = 803520. Its totient is φ = 59904.

The previous prime is 241679. The next prime is 241687. The reversal of 241680 is 86142.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4534 + ... + 4586.

It is an arithmetic number, because the mean of its divisors is an integer number (10044).

2241680 is an apocalyptic number.

241680 is a gapful number since it is divisible by the number (20) 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 241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

241680 is an abundant number, since it is smaller than the sum of its proper divisors (561840).

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

241680 is a wasteful number, since it uses less digits than its factorization.

241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 241680 is about 491.6096012081. The cubic root of 241680 is about 62.2893172693.

Adding to 241680 its product of nonzero digits (384), we get a square (242064 = 4922).

The spelling of 241680 in words is "two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 53 57 60 76 80 95 106 114 120 152 159 190 212 228 240 265 285 304 318 380 424 456 530 570 636 760 795 848 912 1007 1060 1140 1272 1520 1590 2014 2120 2280 2544 3021 3180 4028 4240 4560 5035 6042 6360 8056 10070 12084 12720 15105 16112 20140 24168 30210 40280 48336 60420 80560 120840 241680