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13408512 = 283131779
BaseRepresentation
bin110011001001…
…100100000000
3221020020000120
4303021210000
511413033022
61155220240
7221653605
oct63114400
927206016
1013408512
117629017
1245a7680
132a16140
141ad06ac
15129cd5c
hexcc9900

13408512 has 144 divisors (see below), whose sum is σ = 41207040. Its totient is φ = 3833856.

The previous prime is 13408511. The next prime is 13408519. The reversal of 13408512 is 21580431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169689 + ... + 169767.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 213408512 is an apocalyptic number.

13408512 is a gapful number since it is divisible by the number (12) 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 13408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20603520).

13408512 is an abundant number, since it is smaller than the sum of its proper divisors (27798528).

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

13408512 is a wasteful number, since it uses less digits than its factorization.

13408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 13408512 is about 3661.7635095675. The cubic root of 13408512 is about 237.5710561167.

Adding to 13408512 its reverse (21580431), we get a palindrome (34988943).

The spelling of 13408512 in words is "thirteen million, four hundred eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 79 96 102 104 128 136 156 158 192 204 208 221 237 256 272 312 316 384 408 416 442 474 544 624 632 663 768 816 832 884 948 1027 1088 1248 1264 1326 1343 1632 1664 1768 1896 2054 2176 2496 2528 2652 2686 3081 3264 3328 3536 3792 4029 4108 4352 4992 5056 5304 5372 6162 6528 7072 7584 8058 8216 9984 10112 10608 10744 12324 13056 14144 15168 16116 16432 17459 20224 21216 21488 24648 28288 30336 32232 32864 34918 42432 42976 49296 52377 56576 60672 64464 65728 69836 84864 85952 98592 104754 128928 131456 139672 169728 171904 197184 209508 257856 262912 279344 343808 394368 419016 515712 558688 788736 838032 1031424 1117376 1676064 2234752 3352128 4469504 6704256 13408512