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104290000 = 245410429
BaseRepresentation
bin1100011011101…
…01011011010000
321021020110222121
412031311123100
5203144240000
614203144024
72404310323
oct615653320
9237213877
10104290000
1153961691
122ab15014
13187b6379
14dbca7ba
159250b1a
hex63756d0

104290000 has 50 divisors (see below), whose sum is σ = 252520730. Its totient is φ = 41712000.

The previous prime is 104289979. The next prime is 104290009. The reversal of 104290000 is 92401.

It can be written as a sum of positive squares in 5 ways, for example, as 11128896 + 93161104 = 3336^2 + 9652^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104290009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4786 + ... + 15214.

Almost surely, 2104290000 is an apocalyptic number.

104290000 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 104290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126260365).

104290000 is an abundant number, since it is smaller than the sum of its proper divisors (148230730).

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

104290000 is an equidigital number, since it uses as much as digits as its factorization.

104290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10457 (or 10436 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 104290000 is about 10212.2475488993. The cubic root of 104290000 is about 470.7036389763.

The spelling of 104290000 in words is "one hundred four million, two hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10429 20858 41716 52145 83432 104290 166864 208580 260725 417160 521450 834320 1042900 1303625 2085800 2607250 4171600 5214500 6518125 10429000 13036250 20858000 26072500 52145000 104290000