Search a number
-
+
105341460 = 22357250813
BaseRepresentation
bin1100100011101…
…10001000010100
321100012220022120
412101312020110
5203431411320
614241455540
72416246650
oct621661024
9240186276
10105341460
115450a664
122b3415b0
1318a93b33
14ddc1a60
1593ac440
hex6476214

105341460 has 48 divisors (see below), whose sum is σ = 337094016. Its totient is φ = 24077952.

The previous prime is 105341459. The next prime is 105341461. The reversal of 105341460 is 64143501.

It is an interprime number because it is at equal distance from previous prime (105341459) and next prime (105341461).

It is a super-2 number, since 2×1053414602 = 22193646389863200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105341460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105341461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124987 + ... + 125826.

It is an arithmetic number, because the mean of its divisors is an integer number (7022792).

Almost surely, 2105341460 is an apocalyptic number.

105341460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105341460 is an abundant number, since it is smaller than the sum of its proper divisors (231752556).

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

105341460 is a wasteful number, since it uses less digits than its factorization.

105341460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250832 (or 250830 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105341460 is about 10263.5987840523. The cubic root of 105341460 is about 472.2802427030.

Adding to 105341460 its reverse (64143501), we get a palindrome (169484961).

The spelling of 105341460 in words is "one hundred five million, three hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 250813 501626 752439 1003252 1254065 1504878 1755691 2508130 3009756 3511382 3762195 5016260 5267073 7022764 7524390 8778455 10534146 15048780 17556910 21068292 26335365 35113820 52670730 105341460