Search a number
-
+
10016128 = 27174603
BaseRepresentation
bin100110001101…
…010110000000
3200211212112201
4212031112000
510031004003
6554402544
7151064353
oct46152600
920755481
1010016128
1157212a1
123430454
1320c9005
14148a29a
15d2cb1d
hex98d580

10016128 has 32 divisors (see below), whose sum is σ = 21132360. Its totient is φ = 4712448.

The previous prime is 10016101. The next prime is 10016137. The reversal of 10016128 is 82161001.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×100161282 = 200645640224768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126 + ... + 4477.

Almost surely, 210016128 is an apocalyptic number.

It is an amenable number.

10016128 is an abundant number, since it is smaller than the sum of its proper divisors (11116232).

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

10016128 is an equidigital number, since it uses as much as digits as its factorization.

10016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 10016128 is about 3164.8266935174. The cubic root of 10016128 is about 215.5592292017.

Adding to 10016128 its reverse (82161001), we get a palindrome (92177129).

The spelling of 10016128 in words is "ten million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4603 9206 18412 36824 73648 78251 147296 156502 294592 313004 589184 626008 1252016 2504032 5008064 10016128