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11313216 = 26336547
BaseRepresentation
bin101011001010…
…000001000000
3210021202211000
4223022001000
510344010331
61042252000
7165106065
oct53120100
923252730
1011313216
116427872
123957000
132461515
141706c6c
15ed70e6
hexaca040

11313216 has 56 divisors (see below), whose sum is σ = 33263840. Its totient is φ = 3770496.

The previous prime is 11313209. The next prime is 11313271. The reversal of 11313216 is 61231311.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546 + ... + 5001.

Almost surely, 211313216 is an apocalyptic number.

11313216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11313216 is an abundant number, since it is smaller than the sum of its proper divisors (21950624).

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

11313216 is an equidigital number, since it uses as much as digits as its factorization.

11313216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6552 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11313216 is about 3363.5124498060. The cubic root of 11313216 is about 224.4891521421.

Adding to 11313216 its reverse (61231311), we get a palindrome (72544527).

The spelling of 11313216 in words is "eleven million, three hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 6547 13094 19641 26188 39282 52376 58923 78564 104752 117846 157128 176769 209504 235692 314256 353538 419008 471384 628512 707076 942768 1257024 1414152 1885536 2828304 3771072 5656608 11313216