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117070080 = 283543709
BaseRepresentation
bin1101111101001…
…01100100000000
322011021202221220
412332211210000
5214432220310
615341115040
72621036121
oct676454400
9264252856
10117070080
11600a0536
1233258a80
131b33c44a
1411796048
15a427670
hex6fa5900

117070080 has 144 divisors (see below), whose sum is σ = 383127360. Its totient is φ = 30449664.

The previous prime is 117070073. The next prime is 117070081. The reversal of 117070080 is 80070711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 117070080.

It is not an unprimeable number, because it can be changed into a prime (117070081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164766 + ... + 165474.

Almost surely, 2117070080 is an apocalyptic number.

117070080 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 117070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191563680).

117070080 is an abundant number, since it is smaller than the sum of its proper divisors (266057280).

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

117070080 is an equidigital number, since it uses as much as digits as its factorization.

117070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 117070080 is about 10819.8927905964. The cubic root of 117070080 is about 489.1949574125.

The spelling of 117070080 in words is "one hundred seventeen million, seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 709 768 860 960 1032 1280 1290 1376 1418 1720 1920 2064 2127 2580 2752 2836 3440 3545 3840 4128 4254 5160 5504 5672 6880 7090 8256 8508 10320 10635 11008 11344 13760 14180 16512 17016 20640 21270 22688 27520 28360 30487 33024 34032 41280 42540 45376 55040 56720 60974 68064 82560 85080 90752 91461 113440 121948 136128 152435 165120 170160 181504 182922 226880 243896 272256 304870 340320 365844 453760 457305 487792 544512 609740 680640 731688 907520 914610 975584 1219480 1361280 1463376 1829220 1951168 2438960 2722560 2926752 3658440 3902336 4877920 5853504 7316880 7804672 9755840 11707008 14633760 19511680 23414016 29267520 39023360 58535040 117070080