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11424500 = 225373313
BaseRepresentation
bin101011100101…
…001011110100
3210111102110122
4223211023310
510411041000
61044511112
7166051403
oct53451364
923442418
1011424500
1164a343a
1239ab498
1324a0079
14173563a
15100a085
hexae52f4

11424500 has 48 divisors (see below), whose sum is σ = 25373712. Its totient is φ = 4492800.

The previous prime is 11424499. The next prime is 11424503. The reversal of 11424500 is 542411.

It can be written as a sum of positive squares in 8 ways, for example, as 7279204 + 4145296 = 2698^2 + 2036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11424503) 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 15 ways as a sum of consecutive naturals, for example, 36344 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (528619).

Almost surely, 211424500 is an apocalyptic number.

11424500 is a gapful number since it is divisible by the number (10) 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 11424500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686856).

11424500 is an abundant number, since it is smaller than the sum of its proper divisors (13949212).

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

11424500 is a wasteful number, since it uses less digits than its factorization.

11424500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 11424500 is about 3380.0147928670. The cubic root of 11424500 is about 225.2228245246. Note that the first 3 decimals are identical.

Adding to 11424500 its reverse (542411), we get a palindrome (11966911).

The spelling of 11424500 in words is "eleven million, four hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 313 365 500 626 730 1252 1460 1565 1825 3130 3650 6260 7300 7825 9125 15650 18250 22849 31300 36500 39125 45698 78250 91396 114245 156500 228490 456980 571225 1142450 2284900 2856125 5712250 11424500