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204373120 = 2757519
BaseRepresentation
bin11000010111001…
…11110010000000
3112020120020012211
430023213302000
5404304414440
632140231504
75031100000
oct1413476200
9466506184
10204373120
11a53aa606
125853b594
1333458953
141d200000
1512e1eeea
hexc2e7c80

204373120 has 192 divisors, whose sum is σ = 600004800. Its totient is φ = 66382848.

The previous prime is 204373051. The next prime is 204373129. The reversal of 204373120 is 21373402.

204373120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204373091 and 204373100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204373129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10756471 + ... + 10756489.

It is an arithmetic number, because the mean of its divisors is an integer number (3125025).

Almost surely, 2204373120 is an apocalyptic number.

204373120 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 204373120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300002400).

204373120 is an abundant number, since it is smaller than the sum of its proper divisors (395631680).

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

204373120 is an frugal number, since it uses more digits than its factorization.

204373120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 204373120 is about 14295.9127025874. The cubic root of 204373120 is about 589.0352134049.

The spelling of 204373120 in words is "two hundred four million, three hundred seventy-three thousand, one hundred twenty".