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13941840 = 2435115281
BaseRepresentation
bin110101001011…
…110001010000
3222020022121110
4311023301100
512032114330
61214453320
7226334523
oct65136120
928208543
1013941840
117962790
124804240
132b71b13
141bccbba
151355db0
hexd4bc50

13941840 has 80 divisors (see below), whose sum is σ = 47157696. Its totient is φ = 3379200.

The previous prime is 13941833. The next prime is 13941857. The reversal of 13941840 is 4814931.

It is a happy number.

13941840 is a nontrivial binomial coefficient, being equal to C(5281, 2).

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13941798 and 13941807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 5280.

Almost surely, 213941840 is an apocalyptic number.

13941840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13941840 is the 5280-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23578848).

13941840 is an abundant number, since it is smaller than the sum of its proper divisors (33215856).

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

13941840 is a wasteful number, since it uses less digits than its factorization.

13941840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13941840 is about 3733.8773413169. The cubic root of 13941840 is about 240.6800158681.

The spelling of 13941840 in words is "thirteen million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 5281 10562 15843 21124 26405 31686 42248 52810 58091 63372 79215 84496 105620 116182 126744 158430 174273 211240 232364 253488 290455 316860 348546 422480 464728 580910 633720 697092 871365 929456 1161820 1267440 1394184 1742730 2323640 2788368 3485460 4647280 6970920 13941840