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11361006 = 233613449
BaseRepresentation
bin101011010101…
…101011101110
3210101012101000
4223111223232
510402023011
61043301130
7165365316
oct53255356
923335330
1011361006
11645a768
12397a7a6
13247a1b7
14171a446
15ee6356
hexad5aee

11361006 has 32 divisors (see below), whose sum is σ = 25668000. Its totient is φ = 3723840.

The previous prime is 11361001. The next prime is 11361017. The reversal of 11361006 is 60016311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11361006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11361001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1570 + ... + 5018.

It is an arithmetic number, because the mean of its divisors is an integer number (802125).

Almost surely, 211361006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11361006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12834000).

11361006 is an abundant number, since it is smaller than the sum of its proper divisors (14306994).

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

11361006 is a wasteful number, since it uses less digits than its factorization.

11361006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11361006 is about 3370.6091437602. The cubic root of 11361006 is about 224.8048084946.

Adding to 11361006 its reverse (60016311), we get a palindrome (71377317).

The spelling of 11361006 in words is "eleven million, three hundred sixty-one thousand, six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 3449 6898 10347 20694 31041 62082 93123 186246 210389 420778 631167 1262334 1893501 3787002 5680503 11361006