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11364560 = 245142057
BaseRepresentation
bin101011010110…
…100011010000
3210101101020122
4223112203100
510402131220
61043325412
7165411554
oct53264320
923341218
1011364560
1164623a9
123980868
13247b9bc
14171b864
15ee7425
hexad68d0

11364560 has 20 divisors (see below), whose sum is σ = 26422788. Its totient is φ = 4545792.

The previous prime is 11364559. The next prime is 11364571. The reversal of 11364560 is 6546311.

It can be written as a sum of positive squares in 2 ways, for example, as 1201216 + 10163344 = 1096^2 + 3188^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 70949 + ... + 71108.

Almost surely, 211364560 is an apocalyptic number.

11364560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11364560 is an abundant number, since it is smaller than the sum of its proper divisors (15058228).

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

11364560 is a wasteful number, since it uses less digits than its factorization.

11364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142070 (or 142064 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 11364560 is about 3371.1363069446. The cubic root of 11364560 is about 224.8282475279.

The spelling of 11364560 in words is "eleven million, three hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 142057 284114 568228 710285 1136456 1420570 2272912 2841140 5682280 11364560