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121984 = 27953
BaseRepresentation
bin11101110010000000
320012022221
4131302000
512400414
62340424
71015432
oct356200
9205287
10121984
1183715
125a714
13436a5
1432652
1526224
hex1dc80

121984 has 16 divisors (see below), whose sum is σ = 243270. Its totient is φ = 60928.

The previous prime is 121967. The next prime is 121993. The reversal of 121984 is 489121.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 14400 = 328^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

121984 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 349 + ... + 604.

2121984 is an apocalyptic number.

It is an amenable number.

121984 is a deficient number, since it is larger than the sum of its proper divisors (121286).

121984 is an frugal number, since it uses more digits than its factorization.

121984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its digits is 576, while the sum is 25.

The square root of 121984 is about 349.2620792471. The cubic root of 121984 is about 49.5945883794.

The spelling of 121984 in words is "one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 953 1906 3812 7624 15248 30496 60992 121984