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101988 = 22322833
BaseRepresentation
bin11000111001100100
312011220100
4120321210
511230423
62104100
7603225
oct307144
9164810
10101988
116a697
124b030
1337563
142924c
1520343
hex18e64

101988 has 18 divisors (see below), whose sum is σ = 257894. Its totient is φ = 33984.

The previous prime is 101987. The next prime is 101999. The reversal of 101988 is 889101.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 19044 = 288^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101987) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1381 + ... + 1452.

2101988 is an apocalyptic number.

101988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101988 is an abundant number, since it is smaller than the sum of its proper divisors (155906).

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

101988 is a wasteful number, since it uses less digits than its factorization.

101988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 101988 is about 319.3556011721. The cubic root of 101988 is about 46.7214549259.

It can be divided in two parts, 101 and 988, that added together give a square (1089 = 332).

The spelling of 101988 in words is "one hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2833 5666 8499 11332 16998 25497 33996 50994 101988