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11324000 = 255319149
BaseRepresentation
bin101011001100…
…101001100000
3210022022121102
4223030221200
510344332000
61042413532
7165152402
oct53145140
923268542
1011324000
116434986
1239612a8
1324663bc
14170ab72
15eda3d5
hexacca60

11324000 has 96 divisors (see below), whose sum is σ = 29484000. Its totient is φ = 4262400.

The previous prime is 11323997. The next prime is 11324011. The reversal of 11324000 is 42311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75926 + ... + 76074.

It is an arithmetic number, because the mean of its divisors is an integer number (307125).

Almost surely, 211324000 is an apocalyptic number.

11324000 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 11324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742000).

11324000 is an abundant number, since it is smaller than the sum of its proper divisors (18160000).

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

11324000 is a wasteful number, since it uses less digits than its factorization.

11324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 11324000 is about 3365.1151540475. The cubic root of 11324000 is about 224.5604587805.

Adding to 11324000 its reverse (42311), we get a palindrome (11366311).

The spelling of 11324000 in words is "eleven million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 149 152 160 190 200 250 298 304 380 400 475 500 596 608 745 760 800 950 1000 1192 1490 1520 1900 2000 2375 2384 2831 2980 3040 3725 3800 4000 4750 4768 5662 5960 7450 7600 9500 11324 11920 14155 14900 15200 18625 19000 22648 23840 28310 29800 37250 38000 45296 56620 59600 70775 74500 76000 90592 113240 119200 141550 149000 226480 283100 298000 353875 452960 566200 596000 707750 1132400 1415500 2264800 2831000 5662000 11324000