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11046072 = 2332320011
BaseRepresentation
bin101010001000…
…110010111000
3202210012100210
4222020302320
510311433242
61032431120
7162614202
oct52106270
922705323
1011046072
116265094
1238484a0
132399a4b
141677772
15e82d9c
hexa88cb8

11046072 has 32 divisors (see below), whose sum is σ = 28817280. Its totient is φ = 3521760.

The previous prime is 11046059. The next prime is 11046121. The reversal of 11046072 is 27064011.

11046072 is a modest number, since divided by 6072 gives 1104 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9454 + ... + 10557.

It is an arithmetic number, because the mean of its divisors is an integer number (900540).

Almost surely, 211046072 is an apocalyptic number.

11046072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11046072 is an abundant number, since it is smaller than the sum of its proper divisors (17771208).

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

11046072 is a wasteful number, since it uses less digits than its factorization.

11046072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20039 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11046072 is about 3323.5631481890. The cubic root of 11046072 is about 222.7080711527.

The spelling of 11046072 in words is "eleven million, forty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 20011 40022 60033 80044 120066 160088 240132 460253 480264 920506 1380759 1841012 2761518 3682024 5523036 11046072