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11220480 = 29325487
BaseRepresentation
bin101010110011…
…011000000000
3210010001121100
4222303120000
510333023410
61040254400
7164241525
oct52633000
923101540
1011220480
116374127
123911400
13242b24b
1416c114c
15eb98c0
hexab3600

11220480 has 120 divisors (see below), whose sum is σ = 38939472. Its totient is φ = 2985984.

The previous prime is 11220467. The next prime is 11220487. The reversal of 11220480 is 8402211.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22797 + ... + 23283.

Almost surely, 211220480 is an apocalyptic number.

11220480 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 11220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19469736).

11220480 is an abundant number, since it is smaller than the sum of its proper divisors (27718992).

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

11220480 is an equidigital number, since it uses as much as digits as its factorization.

11220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 11220480 is about 3349.6984938946. The cubic root of 11220480 is about 223.8740788868.

Adding to 11220480 its reverse (8402211), we get a palindrome (19622691).

The spelling of 11220480 in words is "eleven million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 487 512 576 640 720 768 960 974 1152 1280 1440 1461 1536 1920 1948 2304 2435 2560 2880 2922 3840 3896 4383 4608 4870 5760 5844 7305 7680 7792 8766 9740 11520 11688 14610 15584 17532 19480 21915 23040 23376 29220 31168 35064 38960 43830 46752 58440 62336 70128 77920 87660 93504 116880 124672 140256 155840 175320 187008 233760 249344 280512 311680 350640 374016 467520 561024 623360 701280 748032 935040 1122048 1246720 1402560 1870080 2244096 2805120 3740160 5610240 11220480