Search a number
-
+
103367889 = 3233892
BaseRepresentation
bin1100010100101…
…00010011010001
321012111122002100
412022110103101
5202430233024
614131311013
72363420052
oct612242321
9235448070
10103367889
1153391909
122a74b469
1318552741
14da2a729
15911c7c9
hex62944d1

103367889 has 9 divisors (see below), whose sum is σ = 149353243. Its totient is φ = 68891592.

The previous prime is 103367881. The next prime is 103367897. The reversal of 103367889 is 988763301.

It is a happy number.

The square root of 103367889 is 10167.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (103367881) and next prime (103367897).

It can be written as a sum of positive squares in only one way, i.e., 100340289 + 3027600 = 10017^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 103367889 - 23 = 103367881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103367881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28807 + ... + 32195.

Almost surely, 2103367889 is an apocalyptic number.

103367889 is the 10167-th square number.

103367889 is the 5084-th centered octagonal number.

It is an amenable number.

103367889 is a deficient number, since it is larger than the sum of its proper divisors (45985354).

103367889 is an frugal number, since it uses more digits than its factorization.

103367889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The cubic root of 103367889 is about 469.3122414042.

It can be divided in two parts, 10336 and 7889, that added together give a square (18225 = 1352).

The spelling of 103367889 in words is "one hundred three million, three hundred sixty-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 3389 10167 30501 11485321 34455963 103367889