Search a number
-
+
204684740 = 225133721277
BaseRepresentation
bin11000011001100…
…11110111000100
3112021011001200022
430030303313010
5404344402430
632151034312
75033535341
oct1414636704
9467131608
10204684740
11a55a2747
125866b998
1333537740
141d2817c8
1512e824e5
hexc333dc4

204684740 has 48 divisors (see below), whose sum is σ = 475435632. Its totient is φ = 73529856.

The previous prime is 204684737. The next prime is 204684763. The reversal of 204684740 is 47486402.

204684740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 20214016 + 184470724 = 4496^2 + 13582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204684740.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1019 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (9904909).

Almost surely, 2204684740 is an apocalyptic number.

204684740 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 204684740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237717816).

204684740 is an abundant number, since it is smaller than the sum of its proper divisors (270750892).

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

204684740 is a wasteful number, since it uses less digits than its factorization.

204684740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21336 (or 21334 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 204684740 is about 14306.8074705715. The cubic root of 204684740 is about 589.3344405238.

The spelling of 204684740 in words is "two hundred four million, six hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 21277 42554 85108 106385 212770 276601 425540 553202 787249 1106404 1383005 1574498 2766010 3148996 3936245 5532020 7872490 10234237 15744980 20468474 40936948 51171185 102342370 204684740