Search a number
-
+
108673002 = 235534219
BaseRepresentation
bin1100111101000…
…11011111101010
321120111011100000
412132203133222
5210310014002
614441123430
72456463624
oct636433752
9246434300
10108673002
11563856a9
1230489576
131968c369
141060bc14
15981961c
hex67a37ea

108673002 has 48 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 35532432.

The previous prime is 108672973. The next prime is 108673007. The reversal of 108673002 is 200376801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108673007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23649 + ... + 27867.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2108673002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108673002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422480).

108673002 is an abundant number, since it is smaller than the sum of its proper divisors (140171958).

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

108673002 is an equidigital number, since it uses as much as digits as its factorization.

108673002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 108673002 is about 10424.6343820779. The cubic root of 108673002 is about 477.2074569295.

It can be divided in two parts, 1086 and 73002, that added together give a cube (74088 = 423).

The spelling of 108673002 in words is "one hundred eight million, six hundred seventy-three thousand, two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 243 318 477 486 954 1431 2862 4219 4293 8438 8586 12657 12879 25314 25758 37971 75942 113913 223607 227826 341739 447214 670821 683478 1025217 1341642 2012463 2050434 4024926 6037389 12074778 18112167 36224334 54336501 108673002