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116748 = 22332347
BaseRepresentation
bin11100100000001100
312221011000
4130200030
512213443
62300300
7664242
oct344014
9187130
10116748
117a795
1257690
13411a8
1430792
15248d3
hex1c80c

116748 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 36432.

The previous prime is 116747. The next prime is 116789. The reversal of 116748 is 847611.

116748 = T47 + T48 + ... + T92.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116741) 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, 2461 + ... + 2507.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2116748 is an apocalyptic number.

116748 is a gapful number since it is divisible by the number (18) 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 116748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

116748 is an abundant number, since it is smaller than the sum of its proper divisors (205812).

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

116748 is a wasteful number, since it uses less digits than its factorization.

116748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 116748 is about 341.6840645977. The cubic root of 116748 is about 48.8745925446.

It can be divided in two parts, 116 and 748, that multiplied together give a palindrome (86768).

The spelling of 116748 in words is "one hundred sixteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 47 54 69 92 94 108 138 141 188 207 276 282 414 423 564 621 828 846 1081 1242 1269 1692 2162 2484 2538 3243 4324 5076 6486 9729 12972 19458 29187 38916 58374 116748