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11312004 = 2231117712
BaseRepresentation
bin101011001001…
…101110000100
3210021201011010
4223021232010
510343441004
61042242220
7165102414
oct53115604
923251133
1011312004
116426970
123956370
132460ac2
141706644
15ed6a89
hexac9b84

11312004 has 72 divisors (see below), whose sum is σ = 30923424. Its totient is φ = 3180800.

The previous prime is 11311999. The next prime is 11312009. The reversal of 11312004 is 40021311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11311999) and next prime (11312009).

It is a super-2 number, since 2×113120042 = 255922868992032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312009) 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 23 ways as a sum of consecutive naturals, for example, 159289 + ... + 159359.

It is an arithmetic number, because the mean of its divisors is an integer number (429492).

Almost surely, 211312004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461712).

11312004 is an abundant number, since it is smaller than the sum of its proper divisors (19611420).

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

11312004 is a wasteful number, since it uses less digits than its factorization.

11312004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11312004 is about 3363.3322761809. The cubic root of 11312004 is about 224.4811352478.

Adding to 11312004 its reverse (40021311), we get a palindrome (51333315).

The spelling of 11312004 in words is "eleven million, three hundred twelve thousand, four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 71 102 132 142 187 204 213 284 374 426 561 748 781 852 1122 1207 1562 2244 2343 2414 3124 3621 4686 4828 5041 7242 9372 10082 13277 14484 15123 20164 26554 30246 39831 53108 55451 60492 79662 85697 110902 159324 166353 171394 221804 257091 332706 342788 514182 665412 942667 1028364 1885334 2828001 3770668 5656002 11312004