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11372368 = 247591721
BaseRepresentation
bin101011011000…
…011101010000
3210101202221211
4223120131100
510402403433
61043425504
7165443410
oct53303520
923352854
1011372368
116468257
123985294
132482417
141720640
15ee98cd
hexad8750

11372368 has 40 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 4788480.

The previous prime is 11372359. The next prime is 11372399. The reversal of 11372368 is 86327311.

It is a super-3 number, since 3×113723683 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5748 + ... + 7468.

It is an arithmetic number, because the mean of its divisors is an integer number (640584).

Almost surely, 211372368 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 11372368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).

11372368 is an abundant number, since it is smaller than the sum of its proper divisors (14250992).

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

11372368 is a wasteful number, since it uses less digits than its factorization.

11372368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1789 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 11372368 is about 3372.2941745939. The cubic root of 11372368 is about 224.8797250182.

Adding to 11372368 its reverse (86327311), we get a palindrome (97699679).

The spelling of 11372368 in words is "eleven million, three hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 1721 3304 3442 6608 6884 12047 13768 24094 27536 48188 96376 101539 192752 203078 406156 710773 812312 1421546 1624624 2843092 5686184 11372368