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13860432 = 2432101953
BaseRepresentation
bin110100110111…
…111001010000
3222002011221100
4310313321100
512022013212
61213024400
7225545265
oct64677120
928064840
1013860432
117907603
124785100
132b43a51
141bab26c
15133bbdc
hexd37e50

13860432 has 60 divisors (see below), whose sum is σ = 39215124. Its totient is φ = 4569600.

The previous prime is 13860391. The next prime is 13860449. The reversal of 13860432 is 23406831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 3594816 = 3204^2 + 1896^2 .

It is a super-2 number, since 2×138604322 = 384223150453248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13860396 and 13860405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14068 + ... + 15020.

Almost surely, 213860432 is an apocalyptic number.

13860432 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 13860432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19607562).

13860432 is an abundant number, since it is smaller than the sum of its proper divisors (25354692).

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

13860432 is a wasteful number, since it uses less digits than its factorization.

13860432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13860432 is about 3722.9601125986. The cubic root of 13860432 is about 240.2106483928.

The spelling of 13860432 in words is "thirteen million, eight hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 953 1212 1616 1818 1906 2424 2859 3636 3812 4848 5718 7272 7624 8577 11436 14544 15248 17154 22872 34308 45744 68616 96253 137232 192506 288759 385012 577518 770024 866277 1155036 1540048 1732554 2310072 3465108 4620144 6930216 13860432