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104850 = 23252233
BaseRepresentation
bin11001100110010010
312022211100
4121212102
511323400
62125230
7614454
oct314622
9168740
10104850
1171859
1250816
1338955
142a2d4
1521100
hex19992

104850 has 36 divisors (see below), whose sum is σ = 282906. Its totient is φ = 27840.

The previous prime is 104849. The next prime is 104851. The reversal of 104850 is 58401.

It is an interprime number because it is at equal distance from previous prime (104849) and next prime (104851).

It can be written as a sum of positive squares in 3 ways, for example, as 62001 + 42849 = 249^2 + 207^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (104851) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 334 + ... + 566.

2104850 is an apocalyptic number.

104850 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 104850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141453).

104850 is an abundant number, since it is smaller than the sum of its proper divisors (178056).

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

104850 is a wasteful number, since it uses less digits than its factorization.

104850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104850 is about 323.8054971738. The cubic root of 104850 is about 47.1544638875.

The spelling of 104850 in words is "one hundred four thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 233 450 466 699 1165 1398 2097 2330 3495 4194 5825 6990 10485 11650 17475 20970 34950 52425 104850