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11428416 = 263219841
BaseRepresentation
bin101011100110…
…001001000000
3210111121211200
4223212021000
510411202131
61044541200
7166065666
oct53461100
923447750
1011428416
1164a637a
1239b1800
1324a1a9c
141736c36
15100b2e6
hexae6240

11428416 has 42 divisors (see below), whose sum is σ = 32759142. Its totient is φ = 3809280.

The previous prime is 11428409. The next prime is 11428421. The reversal of 11428416 is 61482411.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 5198400 = 2496^2 + 2280^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11428416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9345 + ... + 10496.

Almost surely, 211428416 is an apocalyptic number.

11428416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11428416 is an abundant number, since it is smaller than the sum of its proper divisors (21330726).

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

11428416 is a wasteful number, since it uses less digits than its factorization.

11428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19859 (or 19846 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11428416 is about 3380.5940306402. The cubic root of 11428416 is about 225.2485549527.

The spelling of 11428416 in words is "eleven million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 19841 39682 59523 79364 119046 158728 178569 238092 317456 357138 476184 634912 714276 952368 1269824 1428552 1904736 2857104 3809472 5714208 11428416