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117267241 = 74132172
BaseRepresentation
bin1101111110101…
…01101100101001
322011122210102011
412333111230221
5220010022431
615345235521
72622520000
oct677255451
9264583364
10117267241
1160215683
1233332ba1
131b3ab100
1411807c37
15a465cb1
hex6fd5b29

117267241 has 45 divisors (see below), whose sum is σ = 157362981. Its totient is φ = 87325056.

The previous prime is 117267239. The next prime is 117267247. The reversal of 117267241 is 142762711.

The square root of 117267241 is 10829.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1058841 + 116208400 = 1029^2 + 10780^2 .

It is not a de Polignac number, because 117267241 - 21 = 117267239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117267247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6898065 + ... + 6898081.

Almost surely, 2117267241 is an apocalyptic number.

117267241 is the 10829-th square number.

117267241 is the 5415-th centered octagonal number.

It is an amenable number.

117267241 is a deficient number, since it is larger than the sum of its proper divisors (40095740).

117267241 is an frugal number, since it uses more digits than its factorization.

117267241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 37 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The cubic root of 117267241 is about 489.4694256990.

The spelling of 117267241 in words is "one hundred seventeen million, two hundred sixty-seven thousand, two hundred forty-one".

Divisors: 1 7 13 17 49 91 119 169 221 289 343 637 833 1183 1547 2023 2401 2873 3757 4459 5831 8281 10829 14161 20111 26299 31213 40817 48841 57967 75803 99127 140777 184093 341887 405769 530621 693889 985439 1288651 2393209 6898073 9020557 16752463 117267241