Search a number
-
+
108820417 = 1724126561
BaseRepresentation
bin1100111110001…
…11011111000001
321120202122112211
412133013133001
5210324223132
614444222121
72460646456
oct637073701
9246678484
10108820417
1156476432
123053a941
13197114a4
141064982d
159848147
hex67c77c1

108820417 has 8 divisors (see below), whose sum is σ = 115704072. Its totient is φ = 101990400.

The previous prime is 108820409. The next prime is 108820471. The reversal of 108820417 is 714028801.

It can be written as a sum of positive squares in 4 ways, for example, as 63984001 + 44836416 = 7999^2 + 6696^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 108820417 - 23 = 108820409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (108827417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9184 + ... + 17377.

It is an arithmetic number, because the mean of its divisors is an integer number (14463009).

Almost surely, 2108820417 is an apocalyptic number.

108820417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

108820417 is a deficient number, since it is larger than the sum of its proper divisors (6883655).

108820417 is a wasteful number, since it uses less digits than its factorization.

108820417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26819.

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 108820417 is about 10431.7024976751. The cubic root of 108820417 is about 477.4231368472.

The spelling of 108820417 in words is "one hundred eight million, eight hundred twenty thousand, four hundred seventeen".

Divisors: 1 17 241 4097 26561 451537 6401201 108820417