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11368368 = 2432117177
BaseRepresentation
bin101011010111…
…011110110000
3210101120110200
4223113132300
510402241433
61043355200
7165425634
oct53273660
923346420
1011368368
116465250
123982b00
13248065b
14171cdc4
15ee8613
hexad77b0

11368368 has 60 divisors (see below), whose sum is σ = 34712808. Its totient is φ = 3444480.

The previous prime is 11368367. The next prime is 11368391. The reversal of 11368368 is 86386311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11368367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005 + ... + 5172.

Almost surely, 211368368 is an apocalyptic number.

11368368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11368368 is an abundant number, since it is smaller than the sum of its proper divisors (23344440).

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

11368368 is a wasteful number, since it uses less digits than its factorization.

11368368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 7193 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 11368368 is about 3371.7010543641. The cubic root of 11368368 is about 224.8533562976.

The spelling of 11368368 in words is "eleven million, three hundred sixty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 7177 14354 21531 28708 43062 57416 64593 78947 86124 114832 129186 157894 172248 236841 258372 315788 344496 473682 516744 631576 710523 947364 1033488 1263152 1421046 1894728 2842092 3789456 5684184 11368368