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104180000 = 25545209
BaseRepresentation
bin1100011010110…
…10100100100000
321021000220002112
412031122210200
5203132230000
614200534452
72403341531
oct615324440
9237026075
10104180000
1153896a81
122aa81428
1318778292
14db9c688
15922d235
hex635a920

104180000 has 60 divisors (see below), whose sum is σ = 256347630. Its totient is φ = 41664000.

The previous prime is 104179991. The next prime is 104180003. The reversal of 104180000 is 81401.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 18284176 + 85895824 = 4276^2 + 9268^2 .

It is not an unprimeable number, because it can be changed into a prime (104180003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17396 + ... + 22604.

Almost surely, 2104180000 is an apocalyptic number.

104180000 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 104180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128173815).

104180000 is an abundant number, since it is smaller than the sum of its proper divisors (152167630).

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

104180000 is an frugal number, since it uses more digits than its factorization.

104180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5239 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 104180000 is about 10206.8604379603. The cubic root of 104180000 is about 470.5380890193.

The spelling of 104180000 in words is "one hundred four million, one hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5209 10000 10418 20000 20836 26045 41672 52090 83344 104180 130225 166688 208360 260450 416720 520900 651125 833440 1041800 1302250 2083600 2604500 3255625 4167200 5209000 6511250 10418000 13022500 20836000 26045000 52090000 104180000