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13943808 = 210321789
BaseRepresentation
bin110101001100…
…010000000000
3222020102022100
4311030100000
512032200213
61214510400
7226343334
oct65142000
928212270
1013943808
11796420a
124805400
132b72998
141bcd7c4
151356773
hexd4c400

13943808 has 132 divisors (see below), whose sum is σ = 43109820. Its totient is φ = 4325376.

The previous prime is 13943779. The next prime is 13943827. The reversal of 13943808 is 80834931.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 7225344 = 2592^2 + 2688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 156628 + ... + 156716.

Almost surely, 213943808 is an apocalyptic number.

13943808 is a gapful number since it is divisible by the number (18) 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 13943808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21554910).

13943808 is an abundant number, since it is smaller than the sum of its proper divisors (29166012).

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

13943808 is a wasteful number, since it uses less digits than its factorization.

13943808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13943808 is about 3734.1408650451. The cubic root of 13943808 is about 240.6913399589.

The spelling of 13943808 in words is "thirteen million, nine hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 89 96 102 128 136 144 153 178 192 204 256 267 272 288 306 356 384 408 512 534 544 576 612 712 768 801 816 1024 1068 1088 1152 1224 1424 1513 1536 1602 1632 2136 2176 2304 2448 2848 3026 3072 3204 3264 4272 4352 4539 4608 4896 5696 6052 6408 6528 8544 8704 9078 9216 9792 11392 12104 12816 13056 13617 17088 17408 18156 19584 22784 24208 25632 26112 27234 34176 36312 39168 45568 48416 51264 52224 54468 68352 72624 78336 91136 96832 102528 108936 136704 145248 156672 193664 205056 217872 273408 290496 387328 410112 435744 580992 774656 820224 871488 1161984 1549312 1742976 2323968 3485952 4647936 6971904 13943808