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11230368 = 2531947131
BaseRepresentation
bin101010110101…
…110010100000
3210010120011120
4222311302200
510333332433
61040412240
7164312412
oct52656240
923116146
1011230368
1163805a6
123917080
1324328b6
1416c49b2
15ebc7b3
hexab5ca0

11230368 has 96 divisors (see below), whose sum is σ = 31933440. Its totient is φ = 3444480.

The previous prime is 11230361. The next prime is 11230381. The reversal of 11230368 is 86303211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112303682 = 252242330830848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85663 + ... + 85793.

It is an arithmetic number, because the mean of its divisors is an integer number (332640).

Almost surely, 211230368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15966720).

11230368 is an abundant number, since it is smaller than the sum of its proper divisors (20703072).

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

11230368 is a wasteful number, since it uses less digits than its factorization.

11230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 11230368 is about 3351.1741226024. The cubic root of 11230368 is about 223.9398222700.

Adding to 11230368 its reverse (86303211), we get a palindrome (97533579).

The spelling of 11230368 in words is "eleven million, two hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 76 94 96 114 131 141 152 188 228 262 282 304 376 393 456 524 564 608 752 786 893 912 1048 1128 1504 1572 1786 1824 2096 2256 2489 2679 3144 3572 4192 4512 4978 5358 6157 6288 7144 7467 9956 10716 12314 12576 14288 14934 18471 19912 21432 24628 28576 29868 36942 39824 42864 49256 59736 73884 79648 85728 98512 116983 119472 147768 197024 233966 238944 295536 350949 467932 591072 701898 935864 1403796 1871728 2807592 3743456 5615184 11230368