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204009120 = 25325737547
BaseRepresentation
bin11000010100011…
…10111010100000
3112012212201220100
430022032322200
5404211242440
632124342400
75025022530
oct1412167240
9465781810
10204009120
11a5181087
12583a4a00
133335c073
141d1474c0
1512d9c230
hexc28eea0

204009120 has 288 divisors, whose sum is σ = 818633088. Its totient is φ = 45287424.

The previous prime is 204009119. The next prime is 204009121. The reversal of 204009120 is 21900402.

It is an interprime number because it is at equal distance from previous prime (204009119) and next prime (204009121).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 204009093 and 204009102.

It is not an unprimeable number, because it can be changed into a prime (204009121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372687 + ... + 373233.

It is an arithmetic number, because the mean of its divisors is an integer number (2842476).

Almost surely, 2204009120 is an apocalyptic number.

204009120 is a gapful number since it is divisible by the number (20) 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 204009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409316544).

204009120 is an abundant number, since it is smaller than the sum of its proper divisors (614623968).

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

204009120 is a wasteful number, since it uses less digits than its factorization.

204009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 204009120 is about 14283.1761173767. The cubic root of 204009120 is about 588.6853039922.

Adding to 204009120 its reverse (21900402), we get a palindrome (225909522).

The spelling of 204009120 in words is "two hundred four million, nine thousand, one hundred twenty".