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11303040 = 27357292
BaseRepresentation
bin101011000111…
…100010000000
3210021020212010
4223013202000
510343144130
61042132520
7165034320
oct53074200
923236763
1011303040
116420161
123951140
1324599b8
141703280
15ed40b0
hexac7880

11303040 has 192 divisors, whose sum is σ = 42644160. Its totient is φ = 2494464.

The previous prime is 11303029. The next prime is 11303057. The reversal of 11303040 is 4030311.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 389746 + ... + 389774.

It is an arithmetic number, because the mean of its divisors is an integer number (222105).

Almost surely, 211303040 is an apocalyptic number.

11303040 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 11303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21322080).

11303040 is an abundant number, since it is smaller than the sum of its proper divisors (31341120).

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

11303040 is an equidigital number, since it uses as much as digits as its factorization.

11303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11303040 is about 3361.9994051159. Note that the first 3 decimals coincide. The cubic root of 11303040 is about 224.4218241934.

Adding to 11303040 its reverse (4030311), we get a palindrome (15333351).

The spelling of 11303040 in words is "eleven million, three hundred three thousand, forty".