Search a number
-
+
104149266 = 231329411123
BaseRepresentation
bin1100011010100…
…11000100010010
321020222022221020
412031103010102
5203130234031
614200140310
72403153114
oct615230422
9236868836
10104149266
1153875981
122aa67696
13187672b0
14db913b4
159224096
hex6353112

104149266 has 64 divisors (see below), whose sum is σ = 237928320. Its totient is φ = 30159360.

The previous prime is 104149249. The next prime is 104149273. The reversal of 104149266 is 662941401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92181 + ... + 93303.

It is an arithmetic number, because the mean of its divisors is an integer number (3717630).

Almost surely, 2104149266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104149266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118964160).

104149266 is an abundant number, since it is smaller than the sum of its proper divisors (133779054).

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

104149266 is a wasteful number, since it uses less digits than its factorization.

104149266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 104149266 is about 10205.3547709034. The cubic root of 104149266 is about 470.4918135347.

The spelling of 104149266 in words is "one hundred four million, one hundred forty-nine thousand, two hundred sixty-six".

Divisors: 1 2 3 6 13 26 29 39 41 58 78 82 87 123 174 246 377 533 754 1066 1123 1131 1189 1599 2246 2262 2378 3198 3369 3567 6738 7134 14599 15457 29198 30914 32567 43797 46043 46371 65134 87594 92086 92742 97701 138129 195402 276258 423371 598559 846742 1197118 1270113 1335247 1795677 2540226 2670494 3591354 4005741 8011482 17358211 34716422 52074633 104149266