Search a number
-
+
11321728 = 271121743
BaseRepresentation
bin101011001100…
…000110000000
3210022012111021
4223030012000
510344243403
61042355224
7165142645
oct53140600
923265437
1011321728
116433200
12395bb14
132465362
141709dcc
15ed98bd
hexacc180

11321728 has 96 divisors (see below), whose sum is σ = 26860680. Its totient is φ = 4730880.

The previous prime is 11321719. The next prime is 11321729. The reversal of 11321728 is 82712311.

It is a happy number.

Its product of digits (672) is a multiple of the sum of its prime factors (96).

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263275 + ... + 263317.

Almost surely, 211321728 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 11321728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430340).

11321728 is an abundant number, since it is smaller than the sum of its proper divisors (15538952).

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

11321728 is a wasteful number, since it uses less digits than its factorization.

11321728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its digits is 672, while the sum is 25.

The square root of 11321728 is about 3364.7775557977. Note that the first 3 decimals coincide. The cubic root of 11321728 is about 224.5454394856.

The spelling of 11321728 in words is "eleven million, three hundred twenty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 121 128 136 172 176 187 242 272 344 352 374 473 484 544 688 704 731 748 946 968 1088 1376 1408 1462 1496 1892 1936 2057 2176 2752 2924 2992 3784 3872 4114 5203 5504 5848 5984 7568 7744 8041 8228 10406 11696 11968 15136 15488 16082 16456 20812 23392 23936 30272 32164 32912 41624 46784 60544 64328 65824 83248 88451 93568 128656 131648 166496 176902 257312 263296 332992 353804 514624 665984 707608 1029248 1415216 2830432 5660864 11321728