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241327080 = 23335439509
BaseRepresentation
bin11100110001001…
…01101111101000
3121211002200112000
432120211233220
5443234431310
635540251000
75660150331
oct1630455750
9554080460
10241327080
1111424a675
12689a0a60
133acc6bb7
142409d288
15162be4c0
hexe625be8

241327080 has 128 divisors (see below), whose sum is σ = 807840000. Its totient is φ = 64081152.

The previous prime is 241327039. The next prime is 241327081. The reversal of 241327080 is 80723142.

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

It is not an unprimeable number, because it can be changed into a prime (241327081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473866 + ... + 474374.

It is an arithmetic number, because the mean of its divisors is an integer number (6311250).

Almost surely, 2241327080 is an apocalyptic number.

241327080 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 241327080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403920000).

241327080 is an abundant number, since it is smaller than the sum of its proper divisors (566512920).

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

241327080 is a wasteful number, since it uses less digits than its factorization.

241327080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 241327080 is about 15534.7056618399. The cubic root of 241327080 is about 622.5898259112.

It can be divided in two parts, 24 and 1327080, that added together give a square (1327104 = 11522).

The spelling of 241327080 in words is "two hundred forty-one million, three hundred twenty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 439 509 540 878 1018 1080 1317 1527 1756 2036 2195 2545 2634 3054 3512 3951 4072 4390 4581 5090 5268 6108 6585 7635 7902 8780 9162 10180 10536 11853 12216 13170 13743 15270 15804 17560 18324 19755 20360 22905 23706 26340 27486 30540 31608 36648 39510 45810 47412 52680 54972 59265 61080 68715 79020 91620 94824 109944 118530 137430 158040 183240 223451 237060 274860 446902 474120 549720 670353 893804 1117255 1340706 1787608 2011059 2234510 2681412 3351765 4022118 4469020 5362824 6033177 6703530 8044236 8938040 10055295 12066354 13407060 16088472 20110590 24132708 26814120 30165885 40221180 48265416 60331770 80442360 120663540 241327080