Search a number
-
+
10439424 = 283223197
BaseRepresentation
bin100111110100…
…101100000000
3201122101012100
4213310230000
510133030144
61011430400
7154506432
oct47645400
921571170
1010439424
115990326
1235b5400
132216898
14155a652
15db3269
hex9f4b00

10439424 has 108 divisors (see below), whose sum is σ = 31567536. Its totient is φ = 3311616.

The previous prime is 10439419. The next prime is 10439437. The reversal of 10439424 is 42493401.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52894 + ... + 53090.

It is an arithmetic number, because the mean of its divisors is an integer number (292292).

Almost surely, 210439424 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 10439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783768).

10439424 is an abundant number, since it is smaller than the sum of its proper divisors (21128112).

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

10439424 is a wasteful number, since it uses less digits than its factorization.

10439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10439424 is about 3231.0097492889. The cubic root of 10439424 is about 218.5540433985.

The spelling of 10439424 in words is "ten million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 197 207 256 276 288 368 384 394 414 552 576 591 736 768 788 828 1104 1152 1182 1472 1576 1656 1773 2208 2304 2364 2944 3152 3312 3546 4416 4531 4728 5888 6304 6624 7092 8832 9062 9456 12608 13248 13593 14184 17664 18124 18912 25216 26496 27186 28368 36248 37824 40779 50432 52992 54372 56736 72496 75648 81558 108744 113472 144992 151296 163116 217488 226944 289984 326232 434976 453888 579968 652464 869952 1159936 1304928 1739904 2609856 3479808 5219712 10439424