Search a number
-
+
11730744 = 233443421
BaseRepresentation
bin101100101111…
…111100111000
3211001222120000
4230233330320
511000340434
61055233000
7201465264
oct54577470
924058500
1011730744
116692533
123b18760
13257958c
1417b50a4
15106ab99
hexb2ff38

11730744 has 80 divisors (see below), whose sum is σ = 33700920. Its totient is φ = 3810240.

The previous prime is 11730721. The next prime is 11730749. The reversal of 11730744 is 44703711.

It is a super-2 number, since 2×117307442 = 275220709587072, which contains 22 as substring.

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 (11730749) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27654 + ... + 28074.

Almost surely, 211730744 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 11730744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850460).

11730744 is an abundant number, since it is smaller than the sum of its proper divisors (21970176).

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

11730744 is a wasteful number, since it uses less digits than its factorization.

11730744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 11730744 is about 3425.0173722187. The cubic root of 11730744 is about 227.2175393951.

The spelling of 11730744 in words is "eleven million, seven hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 421 516 648 774 842 1032 1161 1263 1548 1684 2322 2526 3096 3368 3483 3789 4644 5052 6966 7578 9288 10104 11367 13932 15156 18103 22734 27864 30312 34101 36206 45468 54309 68202 72412 90936 108618 136404 144824 162927 217236 272808 325854 434472 488781 651708 977562 1303416 1466343 1955124 2932686 3910248 5865372 11730744