Search a number
-
+
117080320 = 285773179
BaseRepresentation
bin1101111101010…
…00000100000000
322011022022000011
412332220010000
5214433032240
615341234304
72621111020
oct676500400
9264268004
10117080320
11600a81a5
1233262994
131b343cc6
1411799a80
15a42a6ea
hex6fa8100

117080320 has 144 divisors (see below), whose sum is σ = 326712960. Its totient is φ = 39370752.

The previous prime is 117080303. The next prime is 117080323. The reversal of 117080320 is 23080711.

It is a junction number, because it is equal to n+sod(n) for n = 117080291 and 117080300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117080323) 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, 653991 + ... + 654169.

It is an arithmetic number, because the mean of its divisors is an integer number (2268840).

Almost surely, 2117080320 is an apocalyptic number.

117080320 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 117080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163356480).

117080320 is an abundant number, since it is smaller than the sum of its proper divisors (209632640).

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

117080320 is an equidigital number, since it uses as much as digits as its factorization.

117080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

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

The square root of 117080320 is about 10820.3659827198. The cubic root of 117080320 is about 489.2092201239.

The spelling of 117080320 in words is "one hundred seventeen million, eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 179 224 256 280 292 320 358 365 448 511 560 584 640 716 730 895 896 1022 1120 1168 1253 1280 1432 1460 1790 1792 2044 2240 2336 2506 2555 2864 2920 3580 4088 4480 4672 5012 5110 5728 5840 6265 7160 8176 8960 9344 10024 10220 11456 11680 12530 13067 14320 16352 18688 20048 20440 22912 23360 25060 26134 28640 32704 40096 40880 45824 46720 50120 52268 57280 65335 65408 80192 81760 91469 93440 100240 104536 114560 130670 130816 160384 163520 182938 200480 209072 229120 261340 320768 327040 365876 400960 418144 457345 522680 654080 731752 801920 836288 914690 1045360 1463504 1603840 1672576 1829380 2090720 2927008 3345152 3658760 4181440 5854016 7317520 8362880 11708032 14635040 16725760 23416064 29270080 58540160 117080320