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102656 = 28401
BaseRepresentation
bin11001000100000000
312012211002
4121010000
511241111
62111132
7605201
oct310400
9165732
10102656
1170144
124b4a8
1337958
14295a8
152063b
hex19100

102656 has 18 divisors (see below), whose sum is σ = 205422. Its totient is φ = 51200.

The previous prime is 102653. The next prime is 102667. The reversal of 102656 is 656201.

Adding to 102656 its reverse (656201), we get a palindrome (758857).

It can be written as a sum of positive squares in only one way, i.e., 102400 + 256 = 320^2 + 16^2 .

It is not an unprimeable number, because it can be changed into a prime (102653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56 + ... + 456.

2102656 is an apocalyptic number.

102656 is a gapful number since it is divisible by the number (16) 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 102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102711).

102656 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.

102656 is an frugal number, since it uses more digits than its factorization.

102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 102656 is about 320.3997503120. The cubic root of 102656 is about 46.8232382705.

The spelling of 102656 in words is "one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 401 802 1604 3208 6416 12832 25664 51328 102656