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116100 = 22335243
BaseRepresentation
bin11100010110000100
312220021000
4130112010
512203400
62253300
7662325
oct342604
9186230
10116100
117a256
1257230
1340aca
143044c
1524600
hex1c584

116100 has 72 divisors (see below), whose sum is σ = 381920. Its totient is φ = 30240.

The previous prime is 116099. The next prime is 116101. The reversal of 116100 is 1611.

It is an interprime number because it is at equal distance from previous prime (116099) and next prime (116101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116100.

It is not an unprimeable number, because it can be changed into a prime (116101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2679 + ... + 2721.

2116100 is an apocalyptic number.

116100 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 116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960).

116100 is an abundant number, since it is smaller than the sum of its proper divisors (265820).

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

116100 is a wasteful number, since it uses less digits than its factorization.

116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 116100 is about 340.7345007480. The cubic root of 116100 is about 48.7839999504.

Adding to 116100 its reverse (1611), we get a palindrome (117711).

It can be divided in two parts, 116 and 100, that added together give a cube (216 = 63).

The spelling of 116100 in words is "one hundred sixteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 43 45 50 54 60 75 86 90 100 108 129 135 150 172 180 215 225 258 270 300 387 430 450 516 540 645 675 774 860 900 1075 1161 1290 1350 1548 1935 2150 2322 2580 2700 3225 3870 4300 4644 5805 6450 7740 9675 11610 12900 19350 23220 29025 38700 58050 116100