Search a number
-
+
107134128 = 2432743987
BaseRepresentation
bin1100110001010…
…11110010110000
321110120222101200
412120223302300
5204411243003
614344131200
72440424253
oct630536260
9243528350
10107134128
1155524502
122ba66b00
1319270a9a
141032b09a
1596136a3
hex662bcb0

107134128 has 30 divisors (see below), whose sum is σ = 299827164. Its totient is φ = 35711328.

The previous prime is 107134121. The next prime is 107134133. The reversal of 107134128 is 821431701.

It is a super-2 number, since 2×1071341282 = 22955442764640768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107134121) 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 5 ways as a sum of consecutive naturals, for example, 371850 + ... + 372137.

Almost surely, 2107134128 is an apocalyptic number.

107134128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107134128 is an abundant number, since it is smaller than the sum of its proper divisors (192693036).

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

107134128 is a wasteful number, since it uses less digits than its factorization.

107134128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744001 (or 743992 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107134128 is about 10350.5617238873. The cubic root of 107134128 is about 474.9442268772.

Adding to 107134128 its reverse (821431701), we get a palindrome (928565829).

It can be divided in two parts, 10713 and 4128, that added together give a palindrome (14841).

The spelling of 107134128 in words is "one hundred seven million, one hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 743987 1487974 2231961 2975948 4463922 5951896 6695883 8927844 11903792 13391766 17855688 26783532 35711376 53567064 107134128