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13853000 = 235371979
BaseRepresentation
bin110100110110…
…000101001000
3222001210202002
4310312011020
512021244000
61212530132
7225514520
oct64660510
928053662
1013853000
117901a67
124780948
132b40555
141ba8680
1513398d5
hexd36148

13853000 has 64 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 4747200.

The previous prime is 13852931. The next prime is 13853003. The reversal of 13853000 is 35831.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13853003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6011 + ... + 7989.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 213853000 is an apocalyptic number.

13853000 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 13853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

13853000 is an abundant number, since it is smaller than the sum of its proper divisors (23212600).

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

13853000 is a wasteful number, since it uses less digits than its factorization.

13853000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 13853000 is about 3721.9618482730. The cubic root of 13853000 is about 240.1677068568.

Adding to 13853000 its reverse (35831), we get a palindrome (13888831).

The spelling of 13853000 in words is "thirteen million, eight hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1979 3500 3958 7000 7916 9895 13853 15832 19790 27706 39580 49475 55412 69265 79160 98950 110824 138530 197900 247375 277060 346325 395800 494750 554120 692650 989500 1385300 1731625 1979000 2770600 3463250 6926500 13853000