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11204193 = 3721113241
BaseRepresentation
bin101010101111…
…011001100001
3210002020021010
4222233121201
510332013233
61040051133
7164143200
oct52573141
923066233
1011204193
116362970
123903aa9
132423a00
1416b9237
15eb4b63
hexaaf661

11204193 has 72 divisors (see below), whose sum is σ = 21028896. Its totient is φ = 5241600.

The previous prime is 11204191. The next prime is 11204213. The reversal of 11204193 is 39140211.

It is not a de Polignac number, because 11204193 - 21 = 11204191 is a prime.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (11204191) 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 71 ways as a sum of consecutive naturals, for example, 273253 + ... + 273293.

It is an arithmetic number, because the mean of its divisors is an integer number (292068).

Almost surely, 211204193 is an apocalyptic number.

11204193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11204193 is a deficient number, since it is larger than the sum of its proper divisors (9824703).

11204193 is a wasteful number, since it uses less digits than its factorization.

11204193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11204193 is about 3347.2664967104. The cubic root of 11204193 is about 223.7657055443.

The spelling of 11204193 in words is "eleven million, two hundred four thousand, one hundred ninety-three".

Divisors: 1 3 7 11 13 21 33 39 41 49 77 91 123 143 147 169 231 273 287 429 451 507 533 539 637 861 1001 1183 1353 1599 1617 1859 1911 2009 3003 3157 3549 3731 5577 5863 6027 6929 7007 8281 9471 11193 13013 17589 20787 21021 22099 24843 26117 39039 41041 48503 66297 76219 78351 91091 123123 145509 228657 273273 287287 339521 533533 861861 1018563 1600599 3734731 11204193