Search a number
-
+
11747328 = 2143239
BaseRepresentation
bin101100110100…
…000000000000
3211002211022020
4230310000000
511001403303
61055441440
7201564525
oct54640000
924084266
1011747328
1166a3a3a
123b26280
132583ca8
1417bb14c
151070a53
hexb34000

11747328 has 60 divisors (see below), whose sum is σ = 31456320. Its totient is φ = 3899392.

The previous prime is 11747317. The next prime is 11747341. The reversal of 11747328 is 82374711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49033 + ... + 49271.

It is an arithmetic number, because the mean of its divisors is an integer number (524272).

Almost surely, 211747328 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 11747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728160).

11747328 is an abundant number, since it is smaller than the sum of its proper divisors (19708992).

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

11747328 is an frugal number, since it uses more digits than its factorization.

11747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 11747328 is about 3427.4375267829. The cubic root of 11747328 is about 227.3245630517.

The spelling of 11747328 in words is "eleven million, seven hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 512 717 768 956 1024 1434 1536 1912 2048 2868 3072 3824 4096 5736 6144 7648 8192 11472 12288 15296 16384 22944 24576 30592 45888 49152 61184 91776 122368 183552 244736 367104 489472 734208 978944 1468416 1957888 2936832 3915776 5873664 11747328