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117302080 = 265727481
BaseRepresentation
bin1101111110111…
…10001101000000
322011201120012111
412333132031000
5220012131310
615350105104
72623023400
oct677361500
9264646174
10117302080
1160239875
123334b194
131b3c0c1c
1411816800
15a47128a
hex6fde340

117302080 has 84 divisors (see below), whose sum is σ = 324973188. Its totient is φ = 40212480.

The previous prime is 117302069. The next prime is 117302137. The reversal of 117302080 is 80203711.

It can be written as a sum of positive squares in 2 ways, for example, as 74373376 + 42928704 = 8624^2 + 6552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11940 + ... + 19420.

Almost surely, 2117302080 is an apocalyptic number.

117302080 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 117302080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162486594).

117302080 is an abundant number, since it is smaller than the sum of its proper divisors (207671108).

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

117302080 is an equidigital number, since it uses as much as digits as its factorization.

117302080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7495 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 117302080 is about 10830.6084778280. The cubic root of 117302080 is about 489.5178931617.

Adding to 117302080 its reverse (80203711), we get a palindrome (197505791).

The spelling of 117302080 in words is "one hundred seventeen million, three hundred two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7481 7840 14962 15680 29924 37405 52367 59848 74810 104734 119696 149620 209468 239392 261835 299240 366569 418936 478784 523670 598480 733138 837872 1047340 1196960 1466276 1675744 1832845 2094680 2393920 2932552 3351488 3665690 4189360 5865104 7331380 8378720 11730208 14662760 16757440 23460416 29325520 58651040 117302080