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11530640 = 2451113103
BaseRepresentation
bin101011111111…
…000110010000
3210200211001202
4223333012100
510422440030
61051050332
7200003012
oct53770620
923624052
1011530640
116566160
123a409a8
132509484
1417621b2
15102b745
hexaff190

11530640 has 40 divisors (see below), whose sum is σ = 29248128. Its totient is φ = 4192640.

The previous prime is 11530621. The next prime is 11530669. The reversal of 11530640 is 4603511.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5672 + ... + 7431.

Almost surely, 211530640 is an apocalyptic number.

11530640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11530640 is an abundant number, since it is smaller than the sum of its proper divisors (17717488).

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

11530640 is a wasteful number, since it uses less digits than its factorization.

11530640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127 (or 13121 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 11530640 is about 3395.6796079725. The cubic root of 11530640 is about 225.9181576421.

The spelling of 11530640 in words is "eleven million, five hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 13103 26206 52412 65515 104824 131030 144133 209648 262060 288266 524120 576532 720665 1048240 1153064 1441330 2306128 2882660 5765320 11530640