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11420064 = 2532192087
BaseRepresentation
bin101011100100…
…000110100000
3210111012101100
4223210012200
510410420224
61044434400
7166032435
oct53440640
923435340
1011420064
1164a0077
1239a8a00
13249b046
141733b8c
151008ac9
hexae41a0

11420064 has 72 divisors (see below), whose sum is σ = 34201440. Its totient is φ = 3604608.

The previous prime is 11420063. The next prime is 11420077. The reversal of 11420064 is 46002411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11420063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4429 + ... + 6515.

It is an arithmetic number, because the mean of its divisors is an integer number (475020).

Almost surely, 211420064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11420064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100720).

11420064 is an abundant number, since it is smaller than the sum of its proper divisors (22781376).

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

11420064 is a wasteful number, since it uses less digits than its factorization.

11420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11420064 is about 3379.3585190092. The cubic root of 11420064 is about 225.1936702862.

Adding to 11420064 its reverse (46002411), we get a palindrome (57422475).

The spelling of 11420064 in words is "eleven million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2087 2736 4174 5472 6261 8348 12522 16696 18783 25044 33392 37566 39653 50088 66784 75132 79306 100176 118959 150264 158612 200352 237918 300528 317224 356877 475836 601056 634448 713754 951672 1268896 1427508 1903344 2855016 3806688 5710032 11420064