Search a number
-
+
12934416 = 24311217131
BaseRepresentation
bin110001010101…
…110100010000
3220100010200110
4301111310100
511302400131
61141121320
7214640445
oct61256420
926303613
1012934416
117334900
1243b9240
1328ab401
141a099cc
151207646
hexc55d10

12934416 has 120 divisors (see below), whose sum is σ = 39184992. Its totient is φ = 3660800.

The previous prime is 12934391. The next prime is 12934451. The reversal of 12934416 is 61443921.

It is a super-2 number, since 2×129344162 = 334598234522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98671 + ... + 98801.

Almost surely, 212934416 is an apocalyptic number.

12934416 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 12934416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19592496).

12934416 is an abundant number, since it is smaller than the sum of its proper divisors (26250576).

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

12934416 is a wasteful number, since it uses less digits than its factorization.

12934416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 12934416 is about 3596.4449112978. Note that the first 3 decimals coincide. The cubic root of 12934416 is about 234.7373918767.

The spelling of 12934416 in words is "twelve million, nine hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 131 132 136 176 187 204 242 262 264 272 363 374 393 408 484 524 528 561 726 748 786 816 968 1048 1122 1441 1452 1496 1572 1936 2057 2096 2227 2244 2882 2904 2992 3144 4114 4323 4454 4488 5764 5808 6171 6288 6681 8228 8646 8908 8976 11528 12342 13362 15851 16456 17292 17816 23056 24497 24684 26724 31702 32912 34584 35632 47553 48994 49368 53448 63404 69168 73491 95106 97988 98736 106896 126808 146982 190212 195976 253616 269467 293964 380424 391952 538934 587928 760848 808401 1077868 1175856 1616802 2155736 3233604 4311472 6467208 12934416