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204830960 = 24517150611
BaseRepresentation
bin11000011010101…
…11100011110000
3112021102111020212
430031113203300
5404414042320
632154123252
75035014545
oct1415274360
9467374225
10204830960
11a5692594
1258720528
1333589169
141d2bcbcc
1512eb09c5
hexc3578f0

204830960 has 40 divisors (see below), whose sum is σ = 504248976. Its totient is φ = 77112320.

The previous prime is 204830933. The next prime is 204830971. The reversal of 204830960 is 69038402.

204830960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73946 + ... + 76665.

Almost surely, 2204830960 is an apocalyptic number.

204830960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204830960 is an abundant number, since it is smaller than the sum of its proper divisors (299418016).

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

204830960 is a wasteful number, since it uses less digits than its factorization.

204830960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150641 (or 150635 counting only the distinct ones).

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

The square root of 204830960 is about 14311.9167130053. The cubic root of 204830960 is about 589.4747407898.

The spelling of 204830960 in words is "two hundred four million, eight hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 150611 301222 602444 753055 1204888 1506110 2409776 2560387 3012220 5120774 6024440 10241548 12048880 12801935 20483096 25603870 40966192 51207740 102415480 204830960