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1366368 = 25343331
BaseRepresentation
bin101001101100101100000
32120102022020
411031211200
5322210433
645141440
714420403
oct5154540
92512266
101366368
11853633
1255a880
1338ac03
14277d3a
151becb3
hex14d960

1366368 has 48 divisors (see below), whose sum is σ = 3681216. Its totient is φ = 443520.

The previous prime is 1366367. The next prime is 1366397. The reversal of 1366368 is 8636631.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13663682 = 3733923022848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3963 + ... + 4293.

It is an arithmetic number, because the mean of its divisors is an integer number (76692).

21366368 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 1366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840608).

1366368 is an abundant number, since it is smaller than the sum of its proper divisors (2314848).

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

1366368 is a wasteful number, since it uses less digits than its factorization.

1366368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1366368 is about 1168.9174478978. The cubic root of 1366368 is about 110.9658201718.

It can be divided in two parts, 13663 and 68, that added together give a palindrome (13731).

The spelling of 1366368 in words is "one million, three hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 331 344 516 662 688 993 1032 1324 1376 1986 2064 2648 3972 4128 5296 7944 10592 14233 15888 28466 31776 42699 56932 85398 113864 170796 227728 341592 455456 683184 1366368