Search a number
-
+
11340160 = 275132947
BaseRepresentation
bin101011010000…
…100110000000
3210100010202221
4223100212000
510400341120
61043020424
7165250456
oct53204600
923303687
1011340160
116446037
12396a714
132470870
1417129d6
15ee00aa
hexad0980

11340160 has 128 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3956736.

The previous prime is 11340143. The next prime is 11340163. The reversal of 11340160 is 6104311.

11340160 = T351 + T352 + ... + T480.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241257 + ... + 241303.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 211340160 is an apocalyptic number.

11340160 is a gapful number since it is divisible by the number (10) 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 11340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

11340160 is an abundant number, since it is smaller than the sum of its proper divisors (19504640).

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

11340160 is a wasteful number, since it uses less digits than its factorization.

11340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 11340160 is about 3367.5154045676. The cubic root of 11340160 is about 224.6672282426.

Adding to 11340160 its reverse (6104311), we get a palindrome (17444471).

The spelling of 11340160 in words is "eleven million, three hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 47 52 58 64 65 80 94 104 116 128 130 145 160 188 208 232 235 260 290 320 376 377 416 464 470 520 580 611 640 752 754 832 928 940 1040 1160 1222 1363 1504 1508 1664 1856 1880 1885 2080 2320 2444 2726 3008 3016 3055 3712 3760 3770 4160 4640 4888 5452 6016 6032 6110 6815 7520 7540 8320 9280 9776 10904 12064 12220 13630 15040 15080 17719 18560 19552 21808 24128 24440 27260 30080 30160 35438 39104 43616 48256 48880 54520 60320 70876 78208 87232 88595 97760 109040 120640 141752 174464 177190 195520 218080 241280 283504 354380 391040 436160 567008 708760 872320 1134016 1417520 2268032 2835040 5670080 11340160