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116280 = 233251719
BaseRepresentation
bin11100011000111000
312220111200
4130120320
512210110
62254200
7663003
oct343070
9186450
10116280
117a3aa
1257360
1340c08
143053a
15246c0
hex1c638

116280 has 96 divisors (see below), whose sum is σ = 421200. Its totient is φ = 27648.

The previous prime is 116279. The next prime is 116293. The reversal of 116280 is 82611.

116280 = T101 + T102 + ... + T119.

It is a Cunningham number, because it is equal to 3412-1.

116280 is a nontrivial binomial coefficient, being equal to C(21, 7).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6111 + ... + 6129.

2116280 is an apocalyptic number.

116280 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 116280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210600).

116280 is an abundant number, since it is smaller than the sum of its proper divisors (304920).

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

116280 is a wasteful number, since it uses less digits than its factorization.

116280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116280 is about 340.9985337212. The cubic root of 116280 is about 48.8091983019.

Adding to 116280 its reverse (82611), we get a palindrome (198891).

The spelling of 116280 in words is "one hundred sixteen thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 19 20 24 30 34 36 38 40 45 51 57 60 68 72 76 85 90 95 102 114 120 136 152 153 170 171 180 190 204 228 255 285 306 323 340 342 360 380 408 456 510 570 612 646 680 684 760 765 855 969 1020 1140 1224 1292 1368 1530 1615 1710 1938 2040 2280 2584 2907 3060 3230 3420 3876 4845 5814 6120 6460 6840 7752 9690 11628 12920 14535 19380 23256 29070 38760 58140 116280