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107264 = 28419
BaseRepresentation
bin11010001100000000
312110010202
4122030000
511413024
62144332
7624503
oct321400
9173122
10107264
1173653
12520a8
1339a91
142b13a
1521bae
hex1a300

107264 has 18 divisors (see below), whose sum is σ = 214620. Its totient is φ = 53504.

The previous prime is 107251. The next prime is 107269. The reversal of 107264 is 462701.

Adding to 107264 its reverse (462701), we get a palindrome (569965).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107264.

It is not an unprimeable number, because it can be changed into a prime (107269) by changing a digit.

107264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 47 + ... + 465.

2107264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107310).

107264 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107264 is an frugal number, since it uses more digits than its factorization.

107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 107264 is about 327.5118318473. The cubic root of 107264 is about 47.5136064437.

The spelling of 107264 in words is "one hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 419 838 1676 3352 6704 13408 26816 53632 107264