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13950576 = 243343751
BaseRepresentation
bin110101001101…
…111001110000
3222020202121000
4311031321300
512032404301
61215002000
7226402143
oct65157160
928222530
1013950576
117969302
124809300
132b75aa3
141bd205a
151358786
hexd4de70

13950576 has 80 divisors (see below), whose sum is σ = 41029120. Its totient is φ = 4536000.

The previous prime is 13950571. The next prime is 13950593. The reversal of 13950576 is 67505931.

It is a happy number.

13950576 is a `hidden beast` number, since 1 + 39 + 50 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13950576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13950571) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18201 + ... + 18951.

It is an arithmetic number, because the mean of its divisors is an integer number (512864).

Almost surely, 213950576 is an apocalyptic number.

13950576 is a gapful number since it is divisible by the number (16) 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 13950576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514560).

13950576 is an abundant number, since it is smaller than the sum of its proper divisors (27078544).

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

13950576 is a wasteful number, since it uses less digits than its factorization.

13950576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 13950576 is about 3735.0469876562. The cubic root of 13950576 is about 240.7302756523.

The spelling of 13950576 in words is "thirteen million, nine hundred fifty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 751 774 1032 1161 1502 1548 2064 2253 2322 3004 3096 4506 4644 6008 6192 6759 9012 9288 12016 13518 18024 18576 20277 27036 32293 36048 40554 54072 64586 81108 96879 108144 129172 162216 193758 258344 290637 324432 387516 516688 581274 775032 871911 1162548 1550064 1743822 2325096 3487644 4650192 6975288 13950576