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11260128 = 2531110663
BaseRepresentation
bin101010111101…
…000011100000
3210012001222210
4222331003200
510340311003
61041202120
7164465235
oct52750340
923161883
1011260128
1163a09a0
123930340
1324432c9
1416d178c
15ec6503
hexabd0e0

11260128 has 48 divisors (see below), whose sum is σ = 32247936. Its totient is φ = 3411840.

The previous prime is 11260127. The next prime is 11260129. The reversal of 11260128 is 82106211.

It is an interprime number because it is at equal distance from previous prime (11260127) and next prime (11260129).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11260121) 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, 4276 + ... + 6387.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 211260128 is an apocalyptic number.

It is an amenable number.

11260128 is an abundant number, since it is smaller than the sum of its proper divisors (20987808).

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

11260128 is a wasteful number, since it uses less digits than its factorization.

11260128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10687 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11260128 is about 3355.6114196969. The cubic root of 11260128 is about 224.1374581482.

Adding to 11260128 its reverse (82106211), we get a palindrome (93366339).

The spelling of 11260128 in words is "eleven million, two hundred sixty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10663 21326 31989 42652 63978 85304 117293 127956 170608 234586 255912 341216 351879 469172 511824 703758 938344 1023648 1407516 1876688 2815032 3753376 5630064 11260128