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13340256 = 253791759
BaseRepresentation
bin110010111000…
…111001100000
3221002202101120
4302320321200
511403342011
61153532240
7221250606
oct62707140
927082346
1013340256
117591806
124574080
1329c1057
141ab3876
151287a06
hexcb8e60

13340256 has 48 divisors (see below), whose sum is σ = 35481600. Its totient is φ = 4387968.

The previous prime is 13340233. The next prime is 13340269. The reversal of 13340256 is 65204331.

It is a happy number.

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

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

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, 6705 + ... + 8463.

It is an arithmetic number, because the mean of its divisors is an integer number (739200).

Almost surely, 213340256 is an apocalyptic number.

13340256 is a gapful number since it is divisible by the number (16) 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 13340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17740800).

13340256 is an abundant number, since it is smaller than the sum of its proper divisors (22141344).

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

13340256 is a wasteful number, since it uses less digits than its factorization.

13340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 13340256 is about 3652.4315188652. The cubic root of 13340256 is about 237.1672518435.

Adding to 13340256 its reverse (65204331), we get a palindrome (78544587).

The spelling of 13340256 in words is "thirteen million, three hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1759 1896 2528 3518 3792 5277 7036 7584 10554 14072 21108 28144 42216 56288 84432 138961 168864 277922 416883 555844 833766 1111688 1667532 2223376 3335064 4446752 6670128 13340256