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11076480 = 27335641
BaseRepresentation
bin101010010000…
…001110000000
3202211202002000
4222100032000
510313421410
61033224000
7163101642
oct52201600
922752060
1011076480
116285a18
123862000
1323aa83c
141684892
15e8bdc0
hexa90380

11076480 has 128 divisors (see below), whose sum is σ = 39290400. Its totient is φ = 2949120.

The previous prime is 11076479. The next prime is 11076491. The reversal of 11076480 is 8467011.

It is a happy number.

11076480 is a `hidden beast` number, since 1 + 10 + 7 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16960 + ... + 17600.

Almost surely, 211076480 is an apocalyptic number.

11076480 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 11076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19645200).

11076480 is an abundant number, since it is smaller than the sum of its proper divisors (28213920).

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

11076480 is an equidigital number, since it uses as much as digits as its factorization.

11076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11076480 is about 3328.1346126622. The cubic root of 11076480 is about 222.9122433493.

The spelling of 11076480 in words is "eleven million, seventy-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 641 720 864 960 1080 1152 1282 1440 1728 1920 1923 2160 2564 2880 3205 3456 3846 4320 5128 5760 5769 6410 7692 8640 9615 10256 11538 12820 15384 17280 17307 19230 20512 23076 25640 28845 30768 34614 38460 41024 46152 51280 57690 61536 69228 76920 82048 86535 92304 102560 115380 123072 138456 153840 173070 184608 205120 230760 246144 276912 307680 346140 369216 410240 461520 553824 615360 692280 738432 923040 1107648 1230720 1384560 1846080 2215296 2769120 3692160 5538240 11076480