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11230240 = 255737271
BaseRepresentation
bin101010110101…
…110000100000
3210010112222211
4222311300200
510333331430
61040411504
7164312140
oct52656040
923115884
1011230240
11638049a
123916b94
132432818
1416c4920
15ebc72a
hexab5c20

11230240 has 96 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 3732480.

The previous prime is 11230231. The next prime is 11230243. The reversal of 11230240 is 4203211.

It is a super-2 number, since 2×112302402 = 252236580915200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11230240.

It is not an unprimeable number, because it can be changed into a prime (11230243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41305 + ... + 41575.

It is an arithmetic number, because the mean of its divisors is an integer number (325584).

Almost surely, 211230240 is an apocalyptic number.

11230240 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 11230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

11230240 is an abundant number, since it is smaller than the sum of its proper divisors (20025824).

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

11230240 is a wasteful number, since it uses less digits than its factorization.

11230240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11230240 is about 3351.1550247638. The cubic root of 11230240 is about 223.9389714696.

Adding to 11230240 its reverse (4203211), we get a palindrome (15433451).

The spelling of 11230240 in words is "eleven million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 271 280 296 370 518 542 560 592 740 1036 1084 1120 1184 1295 1355 1480 1897 2072 2168 2590 2710 2960 3794 4144 4336 5180 5420 5920 7588 8288 8672 9485 10027 10360 10840 15176 18970 20054 20720 21680 30352 37940 40108 41440 43360 50135 60704 70189 75880 80216 100270 140378 151760 160432 200540 280756 303520 320864 350945 401080 561512 701890 802160 1123024 1403780 1604320 2246048 2807560 5615120 11230240