Search a number
-
+
10429744 = 2413411223
BaseRepresentation
bin100111110010…
…010100110000
3201121212220211
4213302110300
510132222434
61011313504
7154436263
oct47622460
921555824
1010429744
115984026
1235ab894
132212360
141556cda
15db0464
hex9f2530

10429744 has 40 divisors (see below), whose sum is σ = 22311072. Its totient is φ = 4692480.

The previous prime is 10429739. The next prime is 10429751. The reversal of 10429744 is 44792401.

It is an unprimeable number.

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, 7917 + ... + 9139.

Almost surely, 210429744 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 10429744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155536).

10429744 is an abundant number, since it is smaller than the sum of its proper divisors (11881328).

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

10429744 is a wasteful number, since it uses less digits than its factorization.

10429744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 10429744 is about 3229.5114181560. The cubic root of 10429744 is about 218.4864707886.

The spelling of 10429744 in words is "ten million, four hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 1223 2132 2446 4264 4892 8528 9784 15899 19568 31798 50143 63596 100286 127192 200572 254384 401144 651859 802288 1303718 2607436 5214872 10429744