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117312080 = 24519113683
BaseRepresentation
bin1101111111000…
…00101001010000
322011202001220212
412333200221100
5220012441310
615350223252
72623064504
oct677405120
9264661825
10117312080
1160246336
1233354b28
131b3c5642
141181a304
15a474205
hex6fe0a50

117312080 has 80 divisors (see below), whose sum is σ = 290070720. Its totient is φ = 43997184.

The previous prime is 117312079. The next prime is 117312101. The reversal of 117312080 is 80213711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1173120802 = 27524248227852800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 171419 + ... + 172101.

It is an arithmetic number, because the mean of its divisors is an integer number (3625884).

Almost surely, 2117312080 is an apocalyptic number.

117312080 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 117312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

117312080 is an abundant number, since it is smaller than the sum of its proper divisors (172758640).

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

117312080 is a wasteful number, since it uses less digits than its factorization.

117312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 117312080 is about 10831.0701225687. The cubic root of 117312080 is about 489.5318032300.

Adding to 117312080 its reverse (80213711), we get a palindrome (197525791).

The spelling of 117312080 in words is "one hundred seventeen million, three hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 113 152 190 226 304 380 452 565 683 760 904 1130 1366 1520 1808 2147 2260 2732 3415 4294 4520 5464 6830 8588 9040 10735 10928 12977 13660 17176 21470 25954 27320 34352 42940 51908 54640 64885 77179 85880 103816 129770 154358 171760 207632 259540 308716 385895 519080 617432 771790 1038160 1234864 1466401 1543580 2932802 3087160 5865604 6174320 7332005 11731208 14664010 23462416 29328020 58656040 117312080