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11490200 = 235273787
BaseRepresentation
bin101011110101…
…001110011000
3210121202120222
4223311032120
510420141300
61050135212
7166444061
oct53651630
923552528
1011490200
116538837
123a21508
1324c3c47
141751568
15101e785
hexaf5398

11490200 has 48 divisors (see below), whose sum is σ = 27115080. Its totient is φ = 4527360.

The previous prime is 11490197. The next prime is 11490203. The reversal of 11490200 is 209411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11490197) and next prime (11490203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11490203) 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 11 ways as a sum of consecutive naturals, for example, 14207 + ... + 14993.

Almost surely, 211490200 is an apocalyptic number.

11490200 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 11490200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557540).

11490200 is an abundant number, since it is smaller than the sum of its proper divisors (15624880).

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

11490200 is a wasteful number, since it uses less digits than its factorization.

11490200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11490200 is about 3389.7197524279. The cubic root of 11490200 is about 225.6537365915.

Adding to 11490200 its reverse (209411), we get a palindrome (11699611).

The spelling of 11490200 in words is "eleven million, four hundred ninety thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 787 1460 1574 1825 2920 3148 3650 3935 6296 7300 7870 14600 15740 19675 31480 39350 57451 78700 114902 157400 229804 287255 459608 574510 1149020 1436275 2298040 2872550 5745100 11490200