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13859328 = 29371289
BaseRepresentation
bin110100110111…
…101000000000
3222002010102110
4310313220000
512021444303
61213015320
7225542130
oct64675000
928063373
1013859328
11790679a
124784540
132b433b2
141baaac0
15133b703
hexd37a00

13859328 has 80 divisors (see below), whose sum is σ = 42229440. Its totient is φ = 3956736.

The previous prime is 13859323. The next prime is 13859333. The reversal of 13859328 is 82395831.

It is an interprime number because it is at equal distance from previous prime (13859323) and next prime (13859333).

It is a super-2 number, since 2×138593282 = 384161945223168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13859323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10108 + ... + 11396.

It is an arithmetic number, because the mean of its divisors is an integer number (527868).

Almost surely, 213859328 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 13859328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114720).

13859328 is an abundant number, since it is smaller than the sum of its proper divisors (28370112).

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

13859328 is an equidigital number, since it uses as much as digits as its factorization.

13859328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 13859328 is about 3722.8118405313. The cubic root of 13859328 is about 240.2042705349.

The spelling of 13859328 in words is "thirteen million, eight hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1289 1344 1536 1792 2578 2688 3584 3867 5156 5376 7734 9023 10312 10752 15468 18046 20624 27069 30936 36092 41248 54138 61872 72184 82496 108276 123744 144368 164992 216552 247488 288736 329984 433104 494976 577472 659968 866208 989952 1154944 1732416 1979904 2309888 3464832 4619776 6929664 13859328