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204060672 = 2113211071
BaseRepresentation
bin11000010100110…
…11100000000000
3112012222100121200
430022123200000
5404214420142
632125421200
75025326034
oct1412334000
9465870550
10204060672
11a5206892
125840a800
133337967a
141d15c1c4
1512dac64c
hexc29b800

204060672 has 72 divisors (see below), whose sum is σ = 589417920. Its totient is φ = 68014080.

The previous prime is 204060643. The next prime is 204060697. The reversal of 204060672 is 276060402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12897 + ... + 23967.

It is an arithmetic number, because the mean of its divisors is an integer number (8186360).

Almost surely, 2204060672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294708960).

204060672 is an abundant number, since it is smaller than the sum of its proper divisors (385357248).

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

204060672 is a wasteful number, since it uses less digits than its factorization.

204060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11076 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 204060672 is about 14284.9806440191. The cubic root of 204060672 is about 588.7348856790.

The spelling of 204060672 in words is "two hundred four million, sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 11071 18432 22142 33213 44284 66426 88568 99639 132852 177136 199278 265704 354272 398556 531408 708544 797112 1062816 1417088 1594224 2125632 2834176 3188448 4251264 5668352 6376896 8502528 11336704 12753792 17005056 22673408 25507584 34010112 51015168 68020224 102030336 204060672