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13414544 = 2411213241
BaseRepresentation
bin110011001011…
…000010010000
3221020112021222
4303023002100
511413231134
61155304212
7222010313
oct63130220
927215258
1013414544
117632600
1245ab068
132a18b00
141ad297a
15129ea2e
hexccb090

13414544 has 90 divisors (see below), whose sum is σ = 31689378. Its totient is φ = 5491200.

The previous prime is 13414519. The next prime is 13414549. The reversal of 13414544 is 44541431.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 12390400 = 1012^2 + 3520^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414549) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 327164 + ... + 327204.

Almost surely, 213414544 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 13414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15844689).

13414544 is an abundant number, since it is smaller than the sum of its proper divisors (18274834).

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

13414544 is a wasteful number, since it uses less digits than its factorization.

13414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 13414544 is about 3662.5870638116. The cubic root of 13414544 is about 237.6066756241.

Adding to 13414544 its reverse (44541431), we get a palindrome (57955975).

It can be divided in two parts, 1341 and 4544, that added together give a palindrome (5885).

The spelling of 13414544 in words is "thirteen million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 121 143 164 169 176 208 242 286 328 338 451 484 533 572 656 676 902 968 1066 1144 1352 1573 1804 1859 1936 2132 2288 2704 3146 3608 3718 4264 4961 5863 6292 6929 7216 7436 8528 9922 11726 12584 13858 14872 19844 20449 23452 25168 27716 29744 39688 40898 46904 55432 64493 76219 79376 81796 93808 110864 128986 152438 163592 257972 304876 327184 515944 609752 838409 1031888 1219504 1676818 3353636 6707272 13414544