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204080016 = 24374712923
BaseRepresentation
bin11000010101000…
…00001110010000
3112020000100011010
430022200032100
5404221030031
632130050520
75025436320
oct1412401620
9466010133
10204080016
11a521a378
1258419a40
133338540a
141d165280
1512db3246
hexc2a0390

204080016 has 80 divisors (see below), whose sum is σ = 615389184. Its totient is φ = 57063552.

The previous prime is 204080003. The next prime is 204080017. The reversal of 204080016 is 610080402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204079974 and 204080001.

It is not an unprimeable number, because it can be changed into a prime (204080017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9331 + ... + 22253.

Almost surely, 2204080016 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 204080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307694592).

204080016 is an abundant number, since it is smaller than the sum of its proper divisors (411309168).

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

204080016 is a wasteful number, since it uses less digits than its factorization.

204080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12982 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 204080016 is about 14285.6577027451. The cubic root of 204080016 is about 588.7534881984.

The spelling of 204080016 in words is "two hundred four million, eighty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 7896 12923 15792 25846 38769 51692 77538 90461 103384 155076 180922 206768 271383 310152 361844 542766 607381 620304 723688 1085532 1214762 1447376 1822143 2171064 2429524 3644286 4251667 4342128 4859048 7288572 8503334 9718096 12755001 14577144 17006668 25510002 29154288 34013336 51020004 68026672 102040008 204080016