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106240 = 28583
BaseRepresentation
bin11001111100000000
312101201211
4121330000
511344430
62135504
7621511
oct317400
9171654
10106240
1172902
1251594
1339484
142aa08
152172a
hex19f00

106240 has 36 divisors (see below), whose sum is σ = 257544. Its totient is φ = 41984.

The previous prime is 106219. The next prime is 106243. The reversal of 106240 is 42601.

Adding to 106240 its reverse (42601), we get a palindrome (148841).

It is a super-2 number, since 2×1062402 = 22573875200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106243) 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 3 ways as a sum of consecutive naturals, for example, 1239 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (7154).

2106240 is an apocalyptic number.

106240 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 106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128772).

106240 is an abundant number, since it is smaller than the sum of its proper divisors (151304).

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

106240 is an frugal number, since it uses more digits than its factorization.

106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 106240 is about 325.9447805994. The cubic root of 106240 is about 47.3619259017.

The spelling of 106240 in words is "one hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 320 332 415 640 664 830 1280 1328 1660 2656 3320 5312 6640 10624 13280 21248 26560 53120 106240