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105240 = 2335877
BaseRepresentation
bin11001101100011000
312100100210
4121230120
511331430
62131120
7615552
oct315430
9170323
10105240
1172083
1250aa0
1338b95
142a4d2
15212b0
hex19b18

105240 has 32 divisors (see below), whose sum is σ = 316080. Its totient is φ = 28032.

The previous prime is 105239. The next prime is 105251. The reversal of 105240 is 42501.

It is a super-2 number, since 2×1052402 = 22150915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 558.

2105240 is an apocalyptic number.

105240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105240 is an abundant number, since it is smaller than the sum of its proper divisors (210840).

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

105240 is a wasteful number, since it uses less digits than its factorization.

105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105240 is about 324.4071515858. The cubic root of 105240 is about 47.2128567868.

Adding to 105240 its reverse (42501), we get a palindrome (147741).

It can be divided in two parts, 105 and 240, that multiplied together give a triangular number (25200 = T224).

The spelling of 105240 in words is "one hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 877 1754 2631 3508 4385 5262 7016 8770 10524 13155 17540 21048 26310 35080 52620 105240