Search a number
-
+
117267300 = 223252294493
BaseRepresentation
bin1101111110101…
…01101101100100
322011122210111100
412333111231210
5220010023200
615345240100
72622520113
oct677255544
9264583440
10117267300
1160215727
1233333030
131b3ab147
1411807c7a
15a465d00
hex6fd5b64

117267300 has 108 divisors (see below), whose sum is σ = 380327220. Its totient is φ = 30186240.

The previous prime is 117267287. The next prime is 117267307. The reversal of 117267300 is 3762711.

It can be written as a sum of positive squares in 6 ways, for example, as 6260004 + 111007296 = 2502^2 + 10536^2 .

It is not an unprimeable number, because it can be changed into a prime (117267307) 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 35 ways as a sum of consecutive naturals, for example, 23854 + ... + 28346.

Almost surely, 2117267300 is an apocalyptic number.

117267300 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 117267300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190163610).

117267300 is an abundant number, since it is smaller than the sum of its proper divisors (263059920).

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

117267300 is a wasteful number, since it uses less digits than its factorization.

117267300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 117267300 is about 10829.0027241662. The cubic root of 117267300 is about 489.4695077870.

The spelling of 117267300 in words is "one hundred seventeen million, two hundred sixty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 4493 5220 6525 8700 8986 13050 13479 17972 22465 26100 26958 40437 44930 53916 67395 80874 89860 112325 130297 134790 161748 202185 224650 260594 269580 336975 390891 404370 449300 521188 651485 673950 781782 808740 1010925 1172673 1302970 1347900 1563564 1954455 2021850 2345346 2605940 3257425 3908910 4043700 4690692 5863365 6514850 7817820 9772275 11726730 13029700 19544550 23453460 29316825 39089100 58633650 117267300