Search a number
-
+
10743408 = 2433131913
BaseRepresentation
bin101000111110…
…111001110000
3202012211012000
4220332321300
510222242113
61022134000
7160213614
oct50767160
922184160
1010743408
116078755
123721300
1322c2060
1415d9344
15e23373
hexa3ee70

10743408 has 80 divisors (see below), whose sum is σ = 33227040. Its totient is φ = 3303936.

The previous prime is 10743407. The next prime is 10743409. The reversal of 10743408 is 80434701.

It is an interprime number because it is at equal distance from previous prime (10743407) and next prime (10743409).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10743407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4660 + ... + 6572.

It is an arithmetic number, because the mean of its divisors is an integer number (415338).

Almost surely, 210743408 is an apocalyptic number.

10743408 is a gapful number since it is divisible by the number (18) 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 10743408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16613520).

10743408 is an abundant number, since it is smaller than the sum of its proper divisors (22483632).

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

10743408 is a wasteful number, since it uses less digits than its factorization.

10743408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10743408 is about 3277.7138374178. The cubic root of 10743408 is about 220.6551270829.

The spelling of 10743408 in words is "ten million, seven hundred forty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 1913 2808 3826 5616 5739 7652 11478 15304 17217 22956 24869 30608 34434 45912 49738 51651 68868 74607 91824 99476 103302 137736 149214 198952 206604 223821 275472 298428 397904 413208 447642 596856 671463 826416 895284 1193712 1342926 1790568 2685852 3581136 5371704 10743408