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11447072 = 257133931
BaseRepresentation
bin101011101010…
…101100100000
3210112120102122
4223222230200
510412301242
61045203412
7166204250
oct53525440
923476378
1011447072
11650939a
123a00568
1324aa420
14173d960
151011ad2
hexaeab20

11447072 has 48 divisors (see below), whose sum is σ = 27744192. Its totient is φ = 4527360.

The previous prime is 11447053. The next prime is 11447089. The reversal of 11447072 is 27074411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947 + ... + 4877.

It is an arithmetic number, because the mean of its divisors is an integer number (578004).

Almost surely, 211447072 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 11447072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872096).

11447072 is an abundant number, since it is smaller than the sum of its proper divisors (16297120).

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

11447072 is a wasteful number, since it uses less digits than its factorization.

11447072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 11447072 is about 3383.3521838555. The cubic root of 11447072 is about 225.3710552334.

The spelling of 11447072 in words is "eleven million, four hundred forty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3931 7862 15724 27517 31448 51103 55034 62896 102206 110068 125792 204412 220136 357721 408824 440272 715442 817648 880544 1430884 1635296 2861768 5723536 11447072