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205420524 = 22317118377
BaseRepresentation
bin11000011111001…
…11011111101100
3112022112102222120
430033213133230
5410041424044
632214512540
75043021441
oct1417473754
9468472876
10205420524
11a5a55531
1258965750
133373460a
141d3d39c8
151307a519
hexc3e77ec

205420524 has 12 divisors (see below), whose sum is σ = 479314584. Its totient is φ = 68473504.

The previous prime is 205420517. The next prime is 205420541. The reversal of 205420524 is 425024502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 205420494 and 205420503.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8559177 + ... + 8559200.

It is an arithmetic number, because the mean of its divisors is an integer number (39942882).

Almost surely, 2205420524 is an apocalyptic number.

It is an amenable number.

205420524 is an abundant number, since it is smaller than the sum of its proper divisors (273894060).

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

205420524 is a wasteful number, since it uses less digits than its factorization.

205420524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17118384 (or 17118382 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 205420524 is about 14332.4988749345. The cubic root of 205420524 is about 590.0397598409.

It can be divided in two parts, 2054 and 20524, that added together give a triangular number (22578 = T212).

The spelling of 205420524 in words is "two hundred five million, four hundred twenty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17118377 34236754 51355131 68473508 102710262 205420524