[go: up one dir, main page]

Search a number
-
+
11330748 = 223211133171
BaseRepresentation
bin101011001110…
…010010111100
3210022122212100
4223032102330
510400040443
61042505100
7165211152
oct53162274
923278770
1011330748
116439a60
123965190
1324694b0
14170d3d2
15edc3d3
hexace4bc

11330748 has 144 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3024000.

The previous prime is 11330747. The next prime is 11330749. The reversal of 11330748 is 84703311.

It is an interprime number because it is at equal distance from previous prime (11330747) and next prime (11330749).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330741) 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 47 ways as a sum of consecutive naturals, for example, 159553 + ... + 159623.

It is an arithmetic number, because the mean of its divisors is an integer number (244608).

Almost surely, 211330748 is an apocalyptic number.

11330748 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 11330748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

11330748 is an abundant number, since it is smaller than the sum of its proper divisors (23892804).

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

11330748 is a wasteful number, since it uses less digits than its factorization.

11330748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 11330748 is about 3366.1176450029. The cubic root of 11330748 is about 224.6050553035.

The spelling of 11330748 in words is "eleven million, three hundred thirty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 31 33 36 39 44 52 62 66 71 78 93 99 117 124 132 142 143 156 186 198 213 234 279 284 286 341 372 396 403 426 429 468 558 572 639 682 781 806 852 858 923 1023 1116 1209 1278 1287 1364 1562 1612 1716 1846 2046 2201 2343 2418 2556 2574 2769 3069 3124 3627 3692 4092 4402 4433 4686 4836 5148 5538 6138 6603 7029 7254 8307 8804 8866 9372 10153 11076 12276 13206 13299 14058 14508 16614 17732 19809 20306 24211 26412 26598 28116 28613 30459 33228 39618 39897 40612 48422 53196 57226 60918 72633 79236 79794 85839 91377 96844 114452 121836 145266 159588 171678 182754 217899 257517 290532 314743 343356 365508 435798 515034 629486 871596 944229 1030068 1258972 1888458 2832687 3776916 5665374 11330748