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11067040 = 2552632
BaseRepresentation
bin101010001101…
…111010100000
3202211021010101
4222031322200
510313121130
61033112144
7163032265
oct52157240
922737111
1011067040
116279916
123858654
1323a645a
14168126c
15e891ca
hexa8dea0

11067040 has 36 divisors (see below), whose sum is σ = 26245674. Its totient is φ = 4409984.

The previous prime is 11067029. The next prime is 11067053. The reversal of 11067040 is 4076011.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 1106704 = 3156^2 + 1052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11066999 and 11067017.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 41949 + ... + 42211.

Almost surely, 211067040 is an apocalyptic number.

11067040 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 11067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13122837).

11067040 is an abundant number, since it is smaller than the sum of its proper divisors (15178634).

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

11067040 is an frugal number, since it uses more digits than its factorization.

11067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 11067040 is about 3326.7160984971. The cubic root of 11067040 is about 222.8488992286.

It can be divided in two parts, 110670 and 40, that multiplied together give a triangular number (4426800 = T2975).

The spelling of 11067040 in words is "eleven million, sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263 526 1052 1315 2104 2630 4208 5260 8416 10520 21040 42080 69169 138338 276676 345845 553352 691690 1106704 1383380 2213408 2766760 5533520 11067040