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104332500 = 2232544637
BaseRepresentation
bin1100011011111…
…11110011010100
321021022122021200
412031333303110
5203202120000
614204112500
72404545246
oct615776324
9237278250
10104332500
1153990608
122ab35730
13187cc80c
14dbdc096
15925d500
hex637fcd4

104332500 has 90 divisors (see below), whose sum is σ = 329627298. Its totient is φ = 27816000.

The previous prime is 104332499. The next prime is 104332541. The reversal of 104332500 is 5233401.

It can be written as a sum of positive squares in 5 ways, for example, as 54375876 + 49956624 = 7374^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20182 + ... + 24818.

Almost surely, 2104332500 is an apocalyptic number.

104332500 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 104332500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164813649).

104332500 is an abundant number, since it is smaller than the sum of its proper divisors (225294798).

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

104332500 is a wasteful number, since it uses less digits than its factorization.

104332500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 104332500 is about 10214.3281717399. The cubic root of 104332500 is about 470.7675702827.

Adding to 104332500 its reverse (5233401), we get a palindrome (109565901).

Subtracting from 104332500 its reverse (5233401), we obtain a palindrome (99099099).

The spelling of 104332500 in words is "one hundred four million, three hundred thirty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 4637 5625 7500 9274 11250 13911 18548 22500 23185 27822 41733 46370 55644 69555 83466 92740 115925 139110 166932 208665 231850 278220 347775 417330 463700 579625 695550 834660 1043325 1159250 1391100 1738875 2086650 2318500 2898125 3477750 4173300 5216625 5796250 6955500 8694375 10433250 11592500 17388750 20866500 26083125 34777500 52166250 104332500