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11474144 = 251137881
BaseRepresentation
bin101011110001…
…010011100000
3210120221120022
4223301103200
510414133034
61045533012
7166346213
oct53612340
923527508
1011474144
116527770
123a14168
1324b9846
14174977a
151019b2e
hexaf14e0

11474144 has 48 divisors (see below), whose sum is σ = 25338096. Its totient is φ = 5068800.

The previous prime is 11474131. The next prime is 11474191. The reversal of 11474144 is 44147411.

It is a congruent number.

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, 12584 + ... + 13464.

It is an arithmetic number, because the mean of its divisors is an integer number (527877).

Almost surely, 211474144 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 11474144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669048).

11474144 is an abundant number, since it is smaller than the sum of its proper divisors (13863952).

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

11474144 is a wasteful number, since it uses less digits than its factorization.

11474144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 11474144 is about 3387.3505871108. The cubic root of 11474144 is about 225.5485807398.

The spelling of 11474144 in words is "eleven million, four hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 881 1184 1628 1762 3256 3524 6512 7048 9691 13024 14096 19382 28192 32597 38764 65194 77528 130388 155056 260776 310112 358567 521552 717134 1043104 1434268 2868536 5737072 11474144