Search a number
-
+
13514016 = 2531931239
BaseRepresentation
bin110011100011…
…010100100000
3221102120202010
4303203110200
511424422031
61201352520
7222603315
oct63432440
927376663
1013514016
1176a030a
124638740
132a52179
141b1ad0c
1512be246
hexce3520

13514016 has 96 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 4112640.

The previous prime is 13513987. The next prime is 13514021. The reversal of 13514016 is 61041531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13513983 and 13514001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56425 + ... + 56663.

It is an arithmetic number, because the mean of its divisors is an integer number (403200).

Almost surely, 213514016 is an apocalyptic number.

13514016 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 13514016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

13514016 is an abundant number, since it is smaller than the sum of its proper divisors (25193184).

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

13514016 is a wasteful number, since it uses less digits than its factorization.

13514016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13514016 is about 3676.1414553850. The cubic root of 13514016 is about 238.1925330463.

Adding to 13514016 its reverse (61041531), we get a palindrome (74555547).

The spelling of 13514016 in words is "thirteen million, five hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 239 248 304 372 456 478 496 589 608 717 744 912 956 992 1178 1434 1488 1767 1824 1912 2356 2868 2976 3534 3824 4541 4712 5736 7068 7409 7648 9082 9424 11472 13623 14136 14818 18164 18848 22227 22944 27246 28272 29636 36328 44454 54492 56544 59272 72656 88908 108984 118544 140771 145312 177816 217968 237088 281542 355632 422313 435936 563084 711264 844626 1126168 1689252 2252336 3378504 4504672 6757008 13514016