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13923840 = 29357237
BaseRepresentation
bin110101000111…
…011000000000
3222012101220210
4311013120000
512031030330
61214234120
7226231200
oct65073000
928171823
1013923840
117950207
1247b5940
132b66878
141bc6400
1513508b0
hexd47600

13923840 has 240 divisors, whose sum is σ = 53179632. Its totient is φ = 3096576.

The previous prime is 13923821. The next prime is 13923853. The reversal of 13923840 is 4832931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13923798 and 13923807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376302 + ... + 376338.

Almost surely, 213923840 is an apocalyptic number.

13923840 is a gapful number since it is divisible by the number (10) 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 13923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26589816).

13923840 is an abundant number, since it is smaller than the sum of its proper divisors (39255792).

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

13923840 is an equidigital number, since it uses as much as digits as its factorization.

13923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13923840 is about 3731.4661997665. The cubic root of 13923840 is about 240.5763923855.

Subtracting from 13923840 its reverse (4832931), we obtain a palindrome (9090909).

The spelling of 13923840 in words is "thirteen million, nine hundred twenty-three thousand, eight hundred forty".