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10114128 = 243270237
BaseRepresentation
bin100110100101…
…010001010000
3201000211222100
4212211101100
510042123003
61000440400
7151653153
oct46452120
921024870
1010114128
115788992
123479100
1321317bb
1414b3c9a
15d4bba3
hex9a5450

10114128 has 30 divisors (see below), whose sum is σ = 28305914. Its totient is φ = 3371328.

The previous prime is 10114081. The next prime is 10114129. The reversal of 10114128 is 82141101.

It can be written as a sum of positive squares in only one way, i.e., 9809424 + 304704 = 3132^2 + 552^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10114128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34975 + ... + 35262.

Almost surely, 210114128 is an apocalyptic number.

10114128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10114128 is an abundant number, since it is smaller than the sum of its proper divisors (18191786).

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

10114128 is a wasteful number, since it uses less digits than its factorization.

10114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70251 (or 70242 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 10114128 is about 3180.2716865073. The cubic root of 10114128 is about 216.2599750374.

Adding to 10114128 its reverse (82141101), we get a palindrome (92255229).

The spelling of 10114128 in words is "ten million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 70237 140474 210711 280948 421422 561896 632133 842844 1123792 1264266 1685688 2528532 3371376 5057064 10114128