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11807019 = 337179349
BaseRepresentation
bin101101000010…
…100100101011
3211012212012000
4231002210223
511010311034
61101022043
7202233540
oct55024453
924185160
1011807019
116734874
123b54923
1325a5203
1417d4bc7
151083599
hexb4292b

11807019 has 32 divisors (see below), whose sum is σ = 20160000. Its totient is φ = 6689952.

The previous prime is 11807017. The next prime is 11807023. The reversal of 11807019 is 91070811.

11807019 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11807019 - 21 = 11807017 is a prime.

It is a super-2 number, since 2×118070192 = 278811395332722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11806983 and 11807001.

It is not an unprimeable number, because it can be changed into a prime (11807017) 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 31 ways as a sum of consecutive naturals, for example, 33657 + ... + 34005.

It is an arithmetic number, because the mean of its divisors is an integer number (630000).

Almost surely, 211807019 is an apocalyptic number.

11807019 is a deficient number, since it is larger than the sum of its proper divisors (8352981).

11807019 is a wasteful number, since it uses less digits than its factorization.

11807019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The square root of 11807019 is about 3436.1343105298. The cubic root of 11807019 is about 227.7089430092.

The spelling of 11807019 in words is "eleven million, eight hundred seven thousand, nineteen".

Divisors: 1 3 7 9 21 27 63 179 189 349 537 1047 1253 1611 2443 3141 3759 4833 7329 9423 11277 21987 33831 62471 65961 187413 437297 562239 1311891 1686717 3935673 11807019