Search a number
-
+
10426128 = 243832617
BaseRepresentation
bin100111110001…
…011100010000
3201121200221220
4213301130100
510132114003
61011245040
7154422606
oct47613420
921550856
1010426128
115981339
1235a9780
13221080b
141555876
15dae353
hex9f1710

10426128 has 40 divisors (see below), whose sum is σ = 27269088. Its totient is φ = 3432192.

The previous prime is 10426123. The next prime is 10426139. The reversal of 10426128 is 82162401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10426098 and 10426107.

It is not an unprimeable number, because it can be changed into a prime (10426121) 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 7 ways as a sum of consecutive naturals, for example, 2676 + ... + 5292.

Almost surely, 210426128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10426128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634544).

10426128 is an abundant number, since it is smaller than the sum of its proper divisors (16842960).

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

10426128 is a wasteful number, since it uses less digits than its factorization.

10426128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10426128 is about 3228.9515326186. The cubic root of 10426128 is about 218.4612180627.

Adding to 10426128 its reverse (82162401), we get a palindrome (92588529).

The spelling of 10426128 in words is "ten million, four hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 2617 3984 5234 7851 10468 15702 20936 31404 41872 62808 125616 217211 434422 651633 868844 1303266 1737688 2606532 3475376 5213064 10426128