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205150520 = 23526319501
BaseRepresentation
bin11000011101001…
…01100100111000
3112022000201121102
430032211210320
5410004304040
632205030532
75040515321
oct1416454470
9468021542
10205150520
11a5890693
1258855448
133366b753
141d363448
1513025515
hexc3a5938

205150520 has 32 divisors (see below), whose sum is σ = 463367520. Its totient is φ = 81744000.

The previous prime is 205150489. The next prime is 205150531. The reversal of 205150520 is 25051502.

205150520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 205150492 and 205150501.

It is a congruent number.

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, 770 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (14480235).

Almost surely, 2205150520 is an apocalyptic number.

205150520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205150520 is an abundant number, since it is smaller than the sum of its proper divisors (258217000).

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

205150520 is a wasteful number, since it uses less digits than its factorization.

205150520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19775 (or 19771 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 205150520 is about 14323.0764851690. The cubic root of 205150520 is about 589.7811311128.

The spelling of 205150520 in words is "two hundred five million, one hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 263 526 1052 1315 2104 2630 5260 10520 19501 39002 78004 97505 156008 195010 390020 780040 5128763 10257526 20515052 25643815 41030104 51287630 102575260 205150520