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117116320 = 255838819
BaseRepresentation
bin1101111101100…
…00110110100000
322011101010101111
412332300312200
5214440210240
615342113104
72621320666
oct676606640
9264333344
10117116320
1160122252
123327b794
131b3574c9
14117a8c36
15a4361ea
hex6fb0da0

117116320 has 48 divisors (see below), whose sum is σ = 280052640. Its totient is φ = 46276864.

The previous prime is 117116291. The next prime is 117116327. The reversal of 117116320 is 23611711.

It is a junction number, because it is equal to n+sod(n) for n = 117116291 and 117116300.

It is not an unprimeable number, because it can be changed into a prime (117116327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8871 + ... + 17689.

It is an arithmetic number, because the mean of its divisors is an integer number (5834430).

Almost surely, 2117116320 is an apocalyptic number.

117116320 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 117116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140026320).

117116320 is an abundant number, since it is smaller than the sum of its proper divisors (162936320).

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

117116320 is an equidigital number, since it uses as much as digits as its factorization.

117116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8917 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 117116320 is about 10822.0293845471. The cubic root of 117116320 is about 489.2593558688.

The spelling of 117116320 in words is "one hundred seventeen million, one hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 6640 8819 13280 17638 35276 44095 70552 88190 141104 176380 282208 352760 705520 731977 1411040 1463954 2927908 3659885 5855816 7319770 11711632 14639540 23423264 29279080 58558160 117116320