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11055040 = 265179193
BaseRepresentation
bin101010001010…
…111111000000
3202210122122221
4222022333000
510312230130
61032540424
7162652303
oct52127700
922718587
1011055040
1162708a7
123851714
1323a0b59
14167ab3a
15e8587a
hexa8afc0

11055040 has 56 divisors (see below), whose sum is σ = 26609040. Its totient is φ = 4374528.

The previous prime is 11055029. The next prime is 11055041. The reversal of 11055040 is 4055011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57184 + ... + 57376.

Almost surely, 211055040 is an apocalyptic number.

11055040 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 11055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304520).

11055040 is an abundant number, since it is smaller than the sum of its proper divisors (15554000).

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

11055040 is a wasteful number, since it uses less digits than its factorization.

11055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 11055040 is about 3324.9120289114. The cubic root of 11055040 is about 222.7683250216.

The spelling of 11055040 in words is "eleven million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 179 193 320 358 386 716 772 895 965 1432 1544 1790 1930 2864 3088 3580 3860 5728 6176 7160 7720 11456 12352 14320 15440 28640 30880 34547 57280 61760 69094 138188 172735 276376 345470 552752 690940 1105504 1381880 2211008 2763760 5527520 11055040