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13402240 = 27543487
BaseRepresentation
bin110011001000…
…000010000000
3221012220102021
4303020002000
511412332430
61155131224
7221626405
oct63100200
927186367
1013402240
117624335
1245a3b14
132a13327
141acc2ac
15129b07a
hexcc8080

13402240 has 64 divisors (see below), whose sum is σ = 32852160. Its totient is φ = 5225472.

The previous prime is 13402237. The next prime is 13402247. The reversal of 13402240 is 4220431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13402247) 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, 27277 + ... + 27763.

It is an arithmetic number, because the mean of its divisors is an integer number (513315).

Almost surely, 213402240 is an apocalyptic number.

13402240 is a gapful number since it is divisible by the number (10) 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 13402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16426080).

13402240 is an abundant number, since it is smaller than the sum of its proper divisors (19449920).

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

13402240 is an equidigital number, since it uses as much as digits as its factorization.

13402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13402240 is about 3660.9069914435. The cubic root of 13402240 is about 237.5340080571.

Adding to 13402240 its reverse (4220431), we get a palindrome (17622671).

The spelling of 13402240 in words is "thirteen million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 320 344 430 487 640 688 860 974 1376 1720 1948 2435 2752 3440 3896 4870 5504 6880 7792 9740 13760 15584 19480 20941 27520 31168 38960 41882 62336 77920 83764 104705 155840 167528 209410 311680 335056 418820 670112 837640 1340224 1675280 2680448 3350560 6701120 13402240