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204961040 = 2456738239
BaseRepresentation
bin11000011011101…
…11010100010000
3112021200002200122
430031313110100
5404432223130
632201005412
75036066024
oct1415672420
9467602618
10204961040
11a5771299
1258783868
133360342b
141d314384
1512ed92e5
hexc377510

204961040 has 40 divisors (see below), whose sum is σ = 483659520. Its totient is φ = 80758656.

The previous prime is 204961007. The next prime is 204961051. The reversal of 204961040 is 40169402.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13760 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (12091488).

Almost surely, 2204961040 is an apocalyptic number.

204961040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204961040 is an abundant number, since it is smaller than the sum of its proper divisors (278698480).

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

204961040 is a wasteful number, since it uses less digits than its factorization.

204961040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38319 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 204961040 is about 14316.4604564117. The cubic root of 204961040 is about 589.5994983755.

The spelling of 204961040 in words is "two hundred four million, nine hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 38239 76478 152956 191195 305912 382390 611824 764780 1529560 2562013 3059120 5124026 10248052 12810065 20496104 25620130 40992208 51240260 102480520 204961040