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116760 = 23357139
BaseRepresentation
bin11100100000011000
312221011110
4130200120
512214020
62300320
7664260
oct344030
9187143
10116760
117a7a6
12576a0
13411b7
14307a0
15248e0
hex1c818

116760 has 64 divisors (see below), whose sum is σ = 403200. Its totient is φ = 26496.

The previous prime is 116747. The next prime is 116789. The reversal of 116760 is 67611.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

116760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2116760 is an apocalyptic number.

116760 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 116760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

116760 is an abundant number, since it is smaller than the sum of its proper divisors (286440).

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

116760 is a wasteful number, since it uses less digits than its factorization.

116760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 116760 is about 341.7016242279. The cubic root of 116760 is about 48.8762670202.

It can be divided in two parts, 1 and 16760, that added together give a palindrome (16761).

The spelling of 116760 in words is "one hundred sixteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 556 695 834 840 973 1112 1390 1668 1946 2085 2780 2919 3336 3892 4170 4865 5560 5838 7784 8340 9730 11676 14595 16680 19460 23352 29190 38920 58380 116760