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13846950 = 2345213263
BaseRepresentation
bin110100110100…
…100110100110
3222001111110000
4310310212212
512021100300
61212442130
7225461055
oct64644646
928044400
1013846950
1178a8467
124779346
132b3a880
141ba639c
151337c00
hexd349a6

13846950 has 120 divisors (see below), whose sum is σ = 41591088. Its totient is φ = 3395520.

The previous prime is 13846919. The next prime is 13846951. The reversal of 13846950 is 5964831.

13846950 is nontrivially palindromic in base 8.

13846950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846951) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52519 + ... + 52781.

Almost surely, 213846950 is an apocalyptic number.

13846950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13846950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795544).

13846950 is an abundant number, since it is smaller than the sum of its proper divisors (27744138).

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

13846950 is a wasteful number, since it uses less digits than its factorization.

13846950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13846950 is about 3721.1490160970. The cubic root of 13846950 is about 240.1327390712.

The spelling of 13846950 in words is "thirteen million, eight hundred forty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 263 270 325 351 390 405 450 526 585 650 675 702 789 810 975 1053 1170 1315 1350 1578 1755 1950 2025 2106 2367 2630 2925 3419 3510 3945 4050 4734 5265 5850 6575 6838 7101 7890 8775 10257 10530 11835 13150 14202 17095 17550 19725 20514 21303 23670 26325 30771 34190 35505 39450 42606 51285 52650 59175 61542 71010 85475 92313 102570 106515 118350 153855 170950 177525 184626 213030 256425 276939 307710 355050 461565 512850 532575 553878 769275 923130 1065150 1384695 1538550 2307825 2769390 4615650 6923475 13846950