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11454480 = 243355303
BaseRepresentation
bin101011101100…
…100000010000
3210112221121000
4223230200100
510413020410
61045302000
7166234662
oct53544020
923487530
1011454480
116513a14
123a04900
1324b08cb
141742532
151013dc0
hexaec810

11454480 has 80 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 3053952.

The previous prime is 11454479. The next prime is 11454491. The reversal of 11454480 is 8445411.

It is a happy number.

11454480 is a `hidden beast` number, since 114 + 544 + 8 + 0 = 666.

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

It is a super-2 number, since 2×114544802 = 262410224140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 492 + ... + 4811.

It is an arithmetic number, because the mean of its divisors is an integer number (493272).

Almost surely, 211454480 is an apocalyptic number.

11454480 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 11454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

11454480 is an abundant number, since it is smaller than the sum of its proper divisors (28007280).

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

11454480 is a wasteful number, since it uses less digits than its factorization.

11454480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 11454480 is about 3384.4467790172. The cubic root of 11454480 is about 225.4196612221.

Adding to 11454480 its reverse (8445411), we get a palindrome (19899891).

It can be divided in two parts, 1145 and 4480, that added together give a square (5625 = 752).

The spelling of 11454480 in words is "eleven million, four hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5303 10606 15909 21212 26515 31818 42424 47727 53030 63636 79545 84848 95454 106060 127272 143181 159090 190908 212120 238635 254544 286362 318180 381816 424240 477270 572724 636360 715905 763632 954540 1145448 1272720 1431810 1909080 2290896 2863620 3818160 5727240 11454480