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11641472 = 27103883
BaseRepresentation
bin101100011010…
…001010000000
3210220110002122
4230122022000
510440011342
61053303412
7200644103
oct54321200
923813078
1011641472
116631457
123a94b68
132547a5b
14179073a
15104e4d2
hexb1a280

11641472 has 32 divisors (see below), whose sum is σ = 23443680. Its totient is φ = 5757696.

The previous prime is 11641463. The next prime is 11641501. The reversal of 11641472 is 27414611.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12743 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (732615).

Almost surely, 211641472 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 11641472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11721840).

11641472 is an abundant number, since it is smaller than the sum of its proper divisors (11802208).

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

11641472 is an equidigital number, since it uses as much as digits as its factorization.

11641472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 988 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 11641472 is about 3411.9601404471. The cubic root of 11641472 is about 226.6396892153.

The spelling of 11641472 in words is "eleven million, six hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 883 1648 1766 3296 3532 6592 7064 13184 14128 28256 56512 90949 113024 181898 363796 727592 1455184 2910368 5820736 11641472