Search a number
-
+
117328080 = 24354311369
BaseRepresentation
bin1101111111001…
…00100011010000
322011202212212110
412333210203100
5220013444310
615350425320
72623162242
oct677444320
9264685773
10117328080
1160257361
1233362240
131b3cc9cc
1411822092
15a478d20
hex6fe48d0

117328080 has 80 divisors (see below), whose sum is σ = 372208320. Its totient is φ = 30557184.

The previous prime is 117328051. The next prime is 117328091. The reversal of 117328080 is 80823711.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4636 + ... + 16004.

It is an arithmetic number, because the mean of its divisors is an integer number (4652604).

Almost surely, 2117328080 is an apocalyptic number.

117328080 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 117328080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186104160).

117328080 is an abundant number, since it is smaller than the sum of its proper divisors (254880240).

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

117328080 is a wasteful number, since it uses less digits than its factorization.

117328080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11428 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 117328080 is about 10831.8087132298. The cubic root of 117328080 is about 489.5540576951.

The spelling of 117328080 in words is "one hundred seventeen million, three hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 11369 22738 34107 45476 56845 68214 90952 113690 136428 170535 181904 227380 272856 341070 454760 488867 545712 682140 909520 977734 1364280 1466601 1955468 2444335 2728560 2933202 3910936 4888670 5866404 7333005 7821872 9777340 11732808 14666010 19554680 23465616 29332020 39109360 58664040 117328080