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107256 = 23341109
BaseRepresentation
bin11010001011111000
312110010110
4122023320
511413011
62144320
7624462
oct321370
9173113
10107256
1173646
12520a0
1339a86
142b132
1521ba6
hex1a2f8

107256 has 32 divisors (see below), whose sum is σ = 277200. Its totient is φ = 34560.

The previous prime is 107251. The next prime is 107269. The reversal of 107256 is 652701.

Adding to 107256 its reverse (652701), we get a palindrome (759957).

It can be divided in two parts, 10725 and 6, that added together give a triangular number (10731 = T146).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107256.

It is not an unprimeable number, because it can be changed into a prime (107251) by changing a digit.

107256 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 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1038.

2107256 is an apocalyptic number.

It is a pronic number, being equal to 327×328.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138600).

107256 is an abundant number, since it is smaller than the sum of its proper divisors (169944).

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

107256 is a wasteful number, since it uses less digits than its factorization.

107256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 107256 is about 327.4996183204. The cubic root of 107256 is about 47.5124251890.

The spelling of 107256 in words is "one hundred seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 109 123 164 218 246 327 328 436 492 654 872 984 1308 2616 4469 8938 13407 17876 26814 35752 53628 107256