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117260820 = 223254115889
BaseRepresentation
bin1101111110101…
…00001000010100
322011122110121100
412333110020110
5220004321240
615345150100
72622462165
oct677241024
9264573540
10117260820
1160210876
123332b330
131b3a8201
141180576c
15a463e30
hex6fd4214

117260820 has 72 divisors (see below), whose sum is σ = 364389480. Its totient is φ = 30504960.

The previous prime is 117260813. The next prime is 117260863. The reversal of 117260820 is 28062711.

It can be written as a sum of positive squares in 4 ways, for example, as 1397124 + 115863696 = 1182^2 + 10764^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 565 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (5060965).

Almost surely, 2117260820 is an apocalyptic number.

117260820 is a gapful number since it is divisible by the number (10) 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 117260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182194740).

117260820 is an abundant number, since it is smaller than the sum of its proper divisors (247128660).

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

117260820 is a wasteful number, since it uses less digits than its factorization.

117260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15945 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 117260820 is about 10828.7035235064. The cubic root of 117260820 is about 489.4604918583.

The spelling of 117260820 in words is "one hundred seventeen million, two hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 15889 31778 47667 63556 79445 95334 143001 158890 190668 238335 286002 317780 476670 572004 651449 715005 953340 1302898 1430010 1954347 2605796 2860020 3257245 3908694 5863041 6514490 7817388 9771735 11726082 13028980 19543470 23452164 29315205 39086940 58630410 117260820