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11145204 = 2232747941
BaseRepresentation
bin101010100000…
…111111110100
3202222020100100
4222200333310
510323121304
61034514100
7163506210
oct52407764
922866310
1011145204
116322614
123895930
132402bc5
1416a1940
15ea2439
hexaa0ff4

11145204 has 72 divisors (see below), whose sum is σ = 32917248. Its totient is φ = 3113280.

The previous prime is 11145187. The next prime is 11145221. The reversal of 11145204 is 40254111.

It is an interprime number because it is at equal distance from previous prime (11145187) and next prime (11145221).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11374 + ... + 12314.

It is an arithmetic number, because the mean of its divisors is an integer number (457184).

Almost surely, 211145204 is an apocalyptic number.

11145204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16458624).

11145204 is an abundant number, since it is smaller than the sum of its proper divisors (21772044).

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

11145204 is a wasteful number, since it uses less digits than its factorization.

11145204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11145204 is about 3338.4433498264. The cubic root of 11145204 is about 223.3723126934.

Adding to 11145204 its reverse (40254111), we get a palindrome (51399315).

The spelling of 11145204 in words is "eleven million, one hundred forty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 941 987 1316 1692 1882 1974 2823 2961 3764 3948 5646 5922 6587 8469 11292 11844 13174 16938 19761 26348 33876 39522 44227 59283 79044 88454 118566 132681 176908 237132 265362 309589 398043 530724 619178 796086 928767 1238356 1592172 1857534 2786301 3715068 5572602 11145204