Search a number
-
+
105426150 = 23522113331
BaseRepresentation
bin1100100100010…
…10110011100110
321100101012111020
412102022303212
5203442114100
614243352010
72420051604
oct622126346
9240335436
10105426150
1154568255
122b382606
1318ac354b
1410004874
1593c75a0
hex648ace6

105426150 has 48 divisors (see below), whose sum is σ = 262774848. Its totient is φ = 27972000.

The previous prime is 105426121. The next prime is 105426151. The reversal of 105426150 is 51624501.

It is a super-2 number, since 2×1054261502 = 22229346207645000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105426150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105426151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29985 + ... + 33315.

It is an arithmetic number, because the mean of its divisors is an integer number (5474476).

Almost surely, 2105426150 is an apocalyptic number.

105426150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105426150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131387424).

105426150 is an abundant number, since it is smaller than the sum of its proper divisors (157348698).

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

105426150 is a wasteful number, since it uses less digits than its factorization.

105426150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105426150 is about 10267.7237009962. The cubic root of 105426150 is about 472.4067731302.

The spelling of 105426150 in words is "one hundred five million, four hundred twenty-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 211 422 633 1055 1266 2110 3165 3331 5275 6330 6662 9993 10550 15825 16655 19986 31650 33310 49965 83275 99930 166550 249825 499650 702841 1405682 2108523 3514205 4217046 7028410 10542615 17571025 21085230 35142050 52713075 105426150