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13671424 = 21013279
BaseRepresentation
bin110100001001…
…110000000000
3221201120200001
4310021300000
511444441144
61205005344
7224130244
oct64116000
927646601
1013671424
1177985a8
1246b3854
132aa8a00
141b5c424
151300bd4
hexd09c00

13671424 has 66 divisors (see below), whose sum is σ = 29968080. Its totient is φ = 6230016.

The previous prime is 13671419. The next prime is 13671433. The reversal of 13671424 is 42417631.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 13671392 and 13671401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 173017 + ... + 173095.

Almost surely, 213671424 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 13671424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14984040).

13671424 is an abundant number, since it is smaller than the sum of its proper divisors (16296656).

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

13671424 is an equidigital number, since it uses as much as digits as its factorization.

13671424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 13671424 is about 3697.4888776033. The cubic root of 13671424 is about 239.1137685393.

The spelling of 13671424 in words is "thirteen million, six hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 169 208 256 316 338 416 512 632 676 832 1024 1027 1264 1352 1664 2054 2528 2704 3328 4108 5056 5408 6656 8216 10112 10816 13312 13351 16432 20224 21632 26702 32864 40448 43264 53404 65728 80896 86528 106808 131456 173056 213616 262912 427232 525824 854464 1051648 1708928 3417856 6835712 13671424