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204773130 = 23352812699
BaseRepresentation
bin11000011010010…
…01011100001010
3112021022112221000
430031021130022
5404410220010
632152555430
75034354132
oct1415113412
9467275830
10204773130
11a56530a1
12586b2b76
1333568a43
141d2a5ac2
1512e9d7c0
hexc34970a

204773130 has 64 divisors (see below), whose sum is σ = 548208000. Its totient is φ = 54391680.

The previous prime is 204773123. The next prime is 204773141. The reversal of 204773130 is 31377402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 204773094 and 204773103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74521 + ... + 77219.

It is an arithmetic number, because the mean of its divisors is an integer number (8565750).

Almost surely, 2204773130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204773130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274104000).

204773130 is an abundant number, since it is smaller than the sum of its proper divisors (343434870).

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

204773130 is a wasteful number, since it uses less digits than its factorization.

204773130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 204773130 is about 14309.8962260388. The cubic root of 204773130 is about 589.4192600283.

It can be divided in two parts, 2047731 and 30, that added together give a square (2047761 = 14312).

The spelling of 204773130 in words is "two hundred four million, seven hundred seventy-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 281 562 843 1405 1686 2529 2699 2810 4215 5058 5398 7587 8097 8430 12645 13495 15174 16194 24291 25290 26990 37935 40485 48582 72873 75870 80970 121455 145746 242910 364365 728730 758419 1516838 2275257 3792095 4550514 6825771 7584190 11376285 13651542 20477313 22752570 34128855 40954626 68257710 102386565 204773130