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11471040 = 263257569
BaseRepresentation
bin101011110000…
…100011000000
3210120210022100
4223300203000
510414033130
61045510400
7166334160
oct53604300
923523270
1011471040
1165253a9
123a12400
1324b82c9
1417485a0
151018c60
hexaf08c0

11471040 has 168 divisors, whose sum is σ = 45171360. Its totient is φ = 2617344.

The previous prime is 11471029. The next prime is 11471059. The reversal of 11471040 is 4017411.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19876 + ... + 20444.

Almost surely, 211471040 is an apocalyptic number.

11471040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22585680).

11471040 is an abundant number, since it is smaller than the sum of its proper divisors (33700320).

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

11471040 is a wasteful number, since it uses less digits than its factorization.

11471040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 11471040 is about 3386.8923809298. The cubic root of 11471040 is about 225.5282403427.

Adding to 11471040 its reverse (4017411), we get a palindrome (15488451).

It can be divided in two parts, 1147 and 1040, that added together give a 7-th power (2187 = 37).

The spelling of 11471040 in words is "eleven million, four hundred seventy-one thousand, forty".