Search a number
-
+
11131440 = 243546381
BaseRepresentation
bin101010011101…
…101000110000
3202221112110120
4222131220300
510322201230
61034330240
7163421115
oct52355060
922845416
1011131440
116313241
123889980
1323c9868
14169a90c
15e9d310
hexa9da30

11131440 has 40 divisors (see below), whose sum is σ = 34508208. Its totient is φ = 2968320.

The previous prime is 11131427. The next prime is 11131469. The reversal of 11131440 is 4413111.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22951 + ... + 23430.

Almost surely, 211131440 is an apocalyptic number.

11131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131440 is an abundant number, since it is smaller than the sum of its proper divisors (23376768).

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

11131440 is a wasteful number, since it uses less digits than its factorization.

11131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46397 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11131440 is about 3336.3812731761. The cubic root of 11131440 is about 223.2803220632.

Adding to 11131440 its reverse (4413111), we get a palindrome (15544551).

The spelling of 11131440 in words is "eleven million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 46381 92762 139143 185524 231905 278286 371048 463810 556572 695715 742096 927620 1113144 1391430 1855240 2226288 2782860 3710480 5565720 11131440