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11755029 = 3112134753
BaseRepresentation
bin101100110101…
…111000010101
3211010012212110
4230311320111
511002130104
61055541233
7201626136
oct54657025
924105773
1011755029
1166a9800
123b2a819
132587650
1417bdc8d
151072e89
hexb35e15

11755029 has 48 divisors (see below), whose sum is σ = 19305216. Its totient is φ = 6314880.

The previous prime is 11755027. The next prime is 11755033. The reversal of 11755029 is 92055711.

It is not a de Polignac number, because 11755029 - 21 = 11755027 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11754987 and 11755005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11755027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 221767 + ... + 221819.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 211755029 is an apocalyptic number.

11755029 is the 1833-rd nonagonal number.

It is an amenable number.

11755029 is a deficient number, since it is larger than the sum of its proper divisors (7550187).

11755029 is a wasteful number, since it uses less digits than its factorization.

11755029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 11755029 is about 3428.5607767692. The cubic root of 11755029 is about 227.3742266591.

The spelling of 11755029 in words is "eleven million, seven hundred fifty-five thousand, twenty-nine".

Divisors: 1 3 11 13 33 39 47 53 121 141 143 159 363 429 517 583 611 689 1551 1573 1749 1833 2067 2491 4719 5687 6413 6721 7473 7579 17061 19239 20163 22737 27401 32383 73931 82203 83369 97149 221793 250107 301411 356213 904233 1068639 3918343 11755029