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11120640 = 21235181
BaseRepresentation
bin101010011011…
…000000000000
3202220222122120
4222123000000
510321330030
61034204240
7163344456
oct52330000
922828576
1011120640
116306113
123883680
1323c497b
1416969d6
15e9a010
hexa9b000

11120640 has 104 divisors (see below), whose sum is σ = 35778288. Its totient is φ = 2949120.

The previous prime is 11120633. The next prime is 11120653. The reversal of 11120640 is 4602111.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 7 ways as a sum of consecutive naturals, for example, 61350 + ... + 61530.

It is an arithmetic number, because the mean of its divisors is an integer number (344022).

Almost surely, 211120640 is an apocalyptic number.

11120640 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 11120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17889144).

11120640 is an abundant number, since it is smaller than the sum of its proper divisors (24657648).

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

11120640 is an equidigital number, since it uses as much as digits as its factorization.

11120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 191 counting only the distinct ones).

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

The square root of 11120640 is about 3334.7623603489. The cubic root of 11120640 is about 223.2080879894.

Adding to 11120640 its reverse (4602111), we get a palindrome (15722751).

The spelling of 11120640 in words is "eleven million, one hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 181 192 240 256 320 362 384 480 512 543 640 724 768 905 960 1024 1086 1280 1448 1536 1810 1920 2048 2172 2560 2715 2896 3072 3620 3840 4096 4344 5120 5430 5792 6144 7240 7680 8688 10240 10860 11584 12288 14480 15360 17376 20480 21720 23168 28960 30720 34752 43440 46336 57920 61440 69504 86880 92672 115840 139008 173760 185344 231680 278016 347520 370688 463360 556032 695040 741376 926720 1112064 1390080 1853440 2224128 2780160 3706880 5560320 11120640