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11310240 = 253523563
BaseRepresentation
bin101011001001…
…010010100000
3210021121201210
4223021102200
510343411430
61042230120
7165064314
oct53112240
923247653
1011310240
116425607
123955340
132460066
141705b44
15ed62b0
hexac94a0

11310240 has 48 divisors (see below), whose sum is σ = 35628768. Its totient is φ = 3015936.

The previous prime is 11310223. The next prime is 11310251. The reversal of 11310240 is 4201311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11302 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (742266).

Almost surely, 211310240 is an apocalyptic number.

11310240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310240 is an abundant number, since it is smaller than the sum of its proper divisors (24318528).

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

11310240 is a wasteful number, since it uses less digits than its factorization.

11310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23581 (or 23573 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11310240 is about 3363.0700260328. The cubic root of 11310240 is about 224.4694660715.

Adding to 11310240 its reverse (4201311), we get a palindrome (15511551).

The spelling of 11310240 in words is "eleven million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23563 47126 70689 94252 117815 141378 188504 235630 282756 353445 377008 471260 565512 706890 754016 942520 1131024 1413780 1885040 2262048 2827560 3770080 5655120 11310240