Search a number
-
+
10645434 = 23217191831
BaseRepresentation
bin101000100110…
…111110111010
3202000211210100
4220212332322
510211123214
61020100230
7156325152
oct50467672
922024710
1010645434
116011088
123694676
132289597
1415b1762
15e04309
hexa26fba

10645434 has 48 divisors (see below), whose sum is σ = 25721280. Its totient is φ = 3162240.

The previous prime is 10645423. The next prime is 10645441. The reversal of 10645434 is 43454601.

10645434 is a `hidden beast` number, since 10 + 645 + 4 + 3 + 4 = 666.

It is a super-2 number, since 2×106454342 = 226650530096712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10645398 and 10645407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 6729.

It is an arithmetic number, because the mean of its divisors is an integer number (535860).

Almost surely, 210645434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10645434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12860640).

10645434 is an abundant number, since it is smaller than the sum of its proper divisors (15075846).

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

10645434 is a wasteful number, since it uses less digits than its factorization.

10645434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 10645434 is about 3262.7341295300. The cubic root of 10645434 is about 219.9823264039.

The spelling of 10645434 in words is "ten million, six hundred forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 646 969 1831 1938 2907 3662 5493 5814 10986 16479 31127 32958 34789 62254 69578 93381 104367 186762 208734 280143 313101 560286 591413 626202 1182826 1774239 3548478 5322717 10645434