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11057840 = 245277499
BaseRepresentation
bin101010001011…
…101010110000
3202210210111122
4222023222300
510312322330
61033001412
7162663413
oct52135260
922723448
1011057840
116272a12
123853268
1323a2201
14167bb7a
15e865e5
hexa8bab0

11057840 has 40 divisors (see below), whose sum is σ = 25854000. Its totient is φ = 4398336.

The previous prime is 11057777. The next prime is 11057843. The reversal of 11057840 is 4875011.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11057843) by changing a digit.

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, 21911 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (646350).

Almost surely, 211057840 is an apocalyptic number.

11057840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11057840 is an abundant number, since it is smaller than the sum of its proper divisors (14796160).

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

11057840 is a wasteful number, since it uses less digits than its factorization.

11057840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11057840 is about 3325.3330660251. Note that the first 3 decimals coincide. The cubic root of 11057840 is about 222.7871308832.

The spelling of 11057840 in words is "eleven million, fifty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 277 499 554 998 1108 1385 1996 2216 2495 2770 3992 4432 4990 5540 7984 9980 11080 19960 22160 39920 138223 276446 552892 691115 1105784 1382230 2211568 2764460 5528920 11057840