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11028480 = 21135359
BaseRepresentation
bin101010000100…
…100000000000
3202202022020020
4222010200000
510310402410
61032213440
7162512001
oct52044000
922668206
1011028480
116252951
12383a280
132391a38
1416711a8
15e7ca70
hexa84800

11028480 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2932736.

The previous prime is 11028473. The next prime is 11028481. The reversal of 11028480 is 8482011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×110284802 = 243254742220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11028480.

It is not an unprimeable number, because it can be changed into a prime (11028481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30541 + ... + 30899.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 211028480 is an apocalyptic number.

11028480 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 11028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

11028480 is an abundant number, since it is smaller than the sum of its proper divisors (24352320).

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

11028480 is an equidigital number, since it uses as much as digits as its factorization.

11028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 11028480 is about 3320.9155364146. The cubic root of 11028480 is about 222.5897798692.

The spelling of 11028480 in words is "eleven million, twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 359 384 480 512 640 718 768 960 1024 1077 1280 1436 1536 1795 1920 2048 2154 2560 2872 3072 3590 3840 4308 5120 5385 5744 6144 7180 7680 8616 10240 10770 11488 14360 15360 17232 21540 22976 28720 30720 34464 43080 45952 57440 68928 86160 91904 114880 137856 172320 183808 229760 275712 344640 367616 459520 551424 689280 735232 919040 1102848 1378560 1838080 2205696 2757120 3676160 5514240 11028480