Search a number
-
+
204038960 = 2454162207
BaseRepresentation
bin11000010100101…
…10001100110000
3112012221020211112
430022112030300
5404213221320
632125132452
75025205526
oct1412261460
9465836745
10204038960
11a51a1544
12583ba128
133336c818
141d154316
1512da5ec5
hexc296330

204038960 has 40 divisors (see below), whose sum is σ = 485968896. Its totient is φ = 79623680.

The previous prime is 204038959. The next prime is 204038969. The reversal of 204038960 is 69830402.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (204038969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27824 + ... + 34383.

Almost surely, 2204038960 is an apocalyptic number.

204038960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204038960 is an abundant number, since it is smaller than the sum of its proper divisors (281929936).

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

204038960 is a wasteful number, since it uses less digits than its factorization.

204038960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62261 (or 62255 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 204038960 is about 14284.2206647755. The cubic root of 204038960 is about 588.7140045279.

The spelling of 204038960 in words is "two hundred four million, thirty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 62207 124414 248828 311035 497656 622070 995312 1244140 2488280 2550487 4976560 5100974 10201948 12752435 20403896 25504870 40807792 51009740 102019480 204038960