Search a number
-
+
11341440 = 2732511179
BaseRepresentation
bin101011010000…
…111010000000
3210100012112100
4223100322000
510400411230
61043030400
7165254265
oct53207200
923305470
1011341440
116446aa0
12396b400
132471316
14171326c
15ee0660
hexad0e80

11341440 has 192 divisors, whose sum is σ = 42962400. Its totient is φ = 2734080.

The previous prime is 11341439. The next prime is 11341489. The reversal of 11341440 is 4414311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×113414402 = 257256522547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63271 + ... + 63449.

Almost surely, 211341440 is an apocalyptic number.

11341440 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 11341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

11341440 is an abundant number, since it is smaller than the sum of its proper divisors (31620960).

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

11341440 is a wasteful number, since it uses less digits than its factorization.

11341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11341440 is about 3367.7054503029. The cubic root of 11341440 is about 224.6756808933.

Adding to 11341440 its reverse (4414311), we get a palindrome (15755751).

It can be divided in two parts, 11341 and 440, that added together give a triangular number (11781 = T153).

The spelling of 11341440 in words is "eleven million, three hundred forty-one thousand, four hundred forty".