Search a number
-
+
10439712 = 253343281
BaseRepresentation
bin100111110100…
…110000100000
3201122101121000
4213310300200
510133032322
61011432000
7154510323
oct47646040
921571530
1010439712
115990568
1235b5600
132216a5a
14155a7ba
15db33ac
hex9f4c20

10439712 has 96 divisors (see below), whose sum is σ = 31268160. Its totient is φ = 3386880.

The previous prime is 10439701. The next prime is 10439713. The reversal of 10439712 is 21793401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10439713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37012 + ... + 37292.

It is an arithmetic number, because the mean of its divisors is an integer number (325710).

Almost surely, 210439712 is an apocalyptic number.

10439712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10439712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15634080).

10439712 is an abundant number, since it is smaller than the sum of its proper divisors (20828448).

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

10439712 is a wasteful number, since it uses less digits than its factorization.

10439712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10439712 is about 3231.0543170922. The cubic root of 10439712 is about 218.5560531833.

The spelling of 10439712 in words is "ten million, four hundred thirty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 281 288 344 387 432 516 562 688 774 843 864 1032 1124 1161 1376 1548 1686 2064 2248 2322 2529 3096 3372 4128 4496 4644 5058 6192 6744 7587 8992 9288 10116 12083 12384 13488 15174 18576 20232 24166 26976 30348 36249 37152 40464 48332 60696 72498 80928 96664 108747 121392 144996 193328 217494 242784 289992 326241 386656 434988 579984 652482 869976 1159968 1304964 1739952 2609928 3479904 5219856 10439712