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11406416 = 247214549
BaseRepresentation
bin101011100000…
…110001010000
3210110111122212
4223200301100
510410001131
61044251252
7165644600
oct53406120
923414585
1011406416
11649089a
1239a0b28
132494a78
14172cc00
151004a2b
hexae0c50

11406416 has 30 divisors (see below), whose sum is σ = 25709850. Its totient is φ = 4888128.

The previous prime is 11406401. The next prime is 11406433. The reversal of 11406416 is 61460411.

It can be written as a sum of positive squares in only one way, i.e., 10916416 + 490000 = 3304^2 + 700^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11406391 and 11406400.

It is a congruent number.

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, 6491 + ... + 8058.

It is an arithmetic number, because the mean of its divisors is an integer number (856995).

Almost surely, 211406416 is an apocalyptic number.

11406416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11406416 is an abundant number, since it is smaller than the sum of its proper divisors (14303434).

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

11406416 is a wasteful number, since it uses less digits than its factorization.

11406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11406416 is about 3377.3385971797. The cubic root of 11406416 is about 225.1039256528.

Adding to 11406416 its reverse (61460411), we get a palindrome (72866827).

The spelling of 11406416 in words is "eleven million, four hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 14549 29098 58196 101843 116392 203686 232784 407372 712901 814744 1425802 1629488 2851604 5703208 11406416