[go: up one dir, main page]

Search a number
-
+
11741312 = 271131269
BaseRepresentation
bin101100110010…
…100010000000
3211002112001102
4230302202000
511001210222
61055353532
7201541142
oct54624200
924075042
1011741312
11669a470
123b228a8
13258132b
1417b8c92
15106dd92
hexb32880

11741312 has 64 divisors (see below), whose sum is σ = 26438400. Its totient is φ = 5145600.

The previous prime is 11741299. The next prime is 11741329. The reversal of 11741312 is 21314711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43514 + ... + 43782.

It is an arithmetic number, because the mean of its divisors is an integer number (413100).

Almost surely, 211741312 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 11741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219200).

11741312 is an abundant number, since it is smaller than the sum of its proper divisors (14697088).

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

11741312 is a wasteful number, since it uses less digits than its factorization.

11741312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 11741312 is about 3426.5597908106. The cubic root of 11741312 is about 227.2857508755.

The spelling of 11741312 in words is "eleven million, seven hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 269 341 352 496 538 682 704 992 1076 1364 1408 1984 2152 2728 2959 3968 4304 5456 5918 8339 8608 10912 11836 16678 17216 21824 23672 33356 34432 43648 47344 66712 91729 94688 133424 183458 189376 266848 366916 378752 533696 733832 1067392 1467664 2935328 5870656 11741312