Search a number
-
+
102958849 = 728923609
BaseRepresentation
bin1100010001100…
…00011100000001
321011201211222201
412020300130001
5202324140344
614114433201
72360064400
oct610603401
9234654881
10102958849
1153132564
122a592801
131843b4c6
14d961637
15908b4d4
hex6230701

102958849 has 12 divisors (see below), whose sum is σ = 121119300. Its totient is φ = 87255168.

The previous prime is 102958847. The next prime is 102958859. The reversal of 102958849 is 948859201.

It can be written as a sum of positive squares in 2 ways, for example, as 17581249 + 85377600 = 4193^2 + 9240^2 .

It is not a de Polignac number, because 102958849 - 21 = 102958847 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102958799 and 102958808.

It is not an unprimeable number, because it can be changed into a prime (102958847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7444 + ... + 16165.

It is an arithmetic number, because the mean of its divisors is an integer number (10093275).

Almost surely, 2102958849 is an apocalyptic number.

It is an amenable number.

102958849 is a deficient number, since it is larger than the sum of its proper divisors (18160451).

102958849 is an equidigital number, since it uses as much as digits as its factorization.

102958849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23712 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The square root of 102958849 is about 10146.8639983002. The cubic root of 102958849 is about 468.6923801412.

The spelling of 102958849 in words is "one hundred two million, nine hundred fifty-eight thousand, eight hundred forty-nine".

Divisors: 1 7 49 89 623 4361 23609 165263 1156841 2101201 14708407 102958849