Search a number
-
+
13781016 = 233617139
BaseRepresentation
bin110100100100…
…100000011000
3221221011000000
4310210200120
512011443031
61211213000
7225064614
oct64444030
927834000
1013781016
117862977
124747160
132b16862
141b8a344
1513233e6
hexd24818

13781016 has 112 divisors (see below), whose sum is σ = 41315400. Its totient is φ = 4292352.

The previous prime is 13780993. The next prime is 13781039. The reversal of 13781016 is 61018731.

It is an interprime number because it is at equal distance from previous prime (13780993) and next prime (13781039).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99075 + ... + 99213.

Almost surely, 213781016 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 13781016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657700).

13781016 is an abundant number, since it is smaller than the sum of its proper divisors (27534384).

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

13781016 is a wasteful number, since it uses less digits than its factorization.

13781016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13781016 is about 3712.2790843362. The cubic root of 13781016 is about 239.7509917347.

Adding to 13781016 its reverse (61018731), we get a palindrome (74799747).

The spelling of 13781016 in words is "thirteen million, seven hundred eighty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 139 153 162 204 216 243 278 306 324 408 417 459 486 556 612 648 729 834 918 972 1112 1224 1251 1377 1458 1668 1836 1944 2363 2502 2754 2916 3336 3672 3753 4131 4726 5004 5508 5832 7089 7506 8262 9452 10008 11016 11259 12393 14178 15012 16524 18904 21267 22518 24786 28356 30024 33048 33777 42534 45036 49572 56712 63801 67554 85068 90072 99144 101331 127602 135108 170136 191403 202662 255204 270216 382806 405324 510408 574209 765612 810648 1148418 1531224 1722627 2296836 3445254 4593672 6890508 13781016