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205098672 = 24329147341
BaseRepresentation
bin11000011100110…
…00111010110000
3112021221002111010
430032120322300
5410001124142
632203550520
75040211212
oct1416307260
9467832433
10205098672
11a5855739
125882b440
1333650c7c
141d34c5b2
1513014e9c
hexc398eb0

205098672 has 40 divisors (see below), whose sum is σ = 548112240. Its totient is φ = 66008320.

The previous prime is 205098671. The next prime is 205098713. The reversal of 205098672 is 276890502.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 205098672.

It is not an unprimeable number, because it can be changed into a prime (205098671) by changing a digit.

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, 72279 + ... + 75062.

It is an arithmetic number, because the mean of its divisors is an integer number (13702806).

Almost surely, 2205098672 is an apocalyptic number.

It is an amenable number.

205098672 is an abundant number, since it is smaller than the sum of its proper divisors (343013568).

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

205098672 is a wasteful number, since it uses less digits than its factorization.

205098672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147381 (or 147375 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 205098672 is about 14321.2664244472. The cubic root of 205098672 is about 589.7314415019.

The spelling of 205098672 in words is "two hundred five million, ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 147341 294682 442023 589364 884046 1178728 1768092 2357456 3536184 4272889 7072368 8545778 12818667 17091556 25637334 34183112 51274668 68366224 102549336 205098672