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13418240 = 28511953
BaseRepresentation
bin110011001011…
…111100000000
3221020201100212
4303023330000
511413340430
61155333252
7222024143
oct63137400
927221325
1013418240
117635360
1245b1228
132a1a6b4
141ad405a
1512a0b95
hexccbf00

13418240 has 72 divisors (see below), whose sum is σ = 35099568. Its totient is φ = 4874240.

The previous prime is 13418201. The next prime is 13418243. The reversal of 13418240 is 4281431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13418243) by changing a digit.

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, 13604 + ... + 14556.

It is an arithmetic number, because the mean of its divisors is an integer number (487494).

Almost surely, 213418240 is an apocalyptic number.

13418240 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 13418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549784).

13418240 is an abundant number, since it is smaller than the sum of its proper divisors (21681328).

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

13418240 is an equidigital number, since it uses as much as digits as its factorization.

13418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 13418240 is about 3663.0915904465. The cubic root of 13418240 is about 237.6284955640.

Adding to 13418240 its reverse (4281431), we get a palindrome (17699671).

The spelling of 13418240 in words is "thirteen million, four hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 953 1280 1408 1760 1906 2816 3520 3812 4765 7040 7624 9530 10483 14080 15248 19060 20966 30496 38120 41932 52415 60992 76240 83864 104830 121984 152480 167728 209660 243968 304960 335456 419320 609920 670912 838640 1219840 1341824 1677280 2683648 3354560 6709120 13418240