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11311440 = 243576733
BaseRepresentation
bin101011001001…
…100101010000
3210021200101020
4223021211100
510343431230
61042235440
7165100650
oct53114520
923250336
1011311440
1164264a8
123955b80
13246077a
141706360
15ed6810
hexac9950

11311440 has 80 divisors (see below), whose sum is σ = 40080768. Its totient is φ = 2585088.

The previous prime is 11311397. The next prime is 11311453. The reversal of 11311440 is 4411311.

It is a tau number, because it is divible by the number of its divisors (80).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687 + ... + 5046.

Almost surely, 211311440 is an apocalyptic number.

11311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11311440 is an abundant number, since it is smaller than the sum of its proper divisors (28769328).

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

11311440 is a wasteful number, since it uses less digits than its factorization.

11311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6750 counting only the distinct ones).

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

The square root of 11311440 is about 3363.2484297179. The cubic root of 11311440 is about 224.4774044186.

Adding to 11311440 its reverse (4411311), we get a palindrome (15722751).

The spelling of 11311440 in words is "eleven million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 6733 13466 20199 26932 33665 40398 47131 53864 67330 80796 94262 100995 107728 134660 141393 161592 188524 201990 235655 269320 282786 323184 377048 403980 471310 538640 565572 706965 754096 807960 942620 1131144 1413930 1615920 1885240 2262288 2827860 3770480 5655720 11311440