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102888 = 23321429
BaseRepresentation
bin11001000111101000
312020010200
4121013220
511243023
62112200
7605652
oct310750
9166120
10102888
1170335
124b660
1337aa6
14296d2
1520743
hex191e8

102888 has 24 divisors (see below), whose sum is σ = 278850. Its totient is φ = 34272.

The previous prime is 102881. The next prime is 102911. The reversal of 102888 is 888201.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 1764 = 318^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (102881) by changing a digit.

102888 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 5 ways as a sum of consecutive naturals, for example, 643 + ... + 786.

2102888 is an apocalyptic number.

102888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102888 is an abundant number, since it is smaller than the sum of its proper divisors (175962).

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

102888 is a wasteful number, since it uses less digits than its factorization.

102888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 102888 is about 320.7615937110. The cubic root of 102888 is about 46.8584848487.

It can be divided in two parts, 10288 and 8, that added together give a triangular number (10296 = T143).

The spelling of 102888 in words is "one hundred two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1429 2858 4287 5716 8574 11432 12861 17148 25722 34296 51444 102888