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201047968 = 251119231307
BaseRepresentation
bin10111111101110…
…11111110100000
3112000022021222001
423332323332200
5402432013333
631541053344
74660610452
oct1376737640
9460267861
10201047968
11a3539350
12573b7254
13328632c4
141c9b62d2
15129b4b7d
hexbfbbfa0

201047968 has 96 divisors (see below), whose sum is σ = 474647040. Its totient is φ = 82748160.

The previous prime is 201047963. The next prime is 201048017. The reversal of 201047968 is 869740102.

It is not an unprimeable number, because it can be changed into a prime (201047963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153171 + ... + 154477.

It is an arithmetic number, because the mean of its divisors is an integer number (4944240).

Almost surely, 2201047968 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 201047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237323520).

201047968 is an abundant number, since it is smaller than the sum of its proper divisors (273599072).

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

201047968 is a wasteful number, since it uses less digits than its factorization.

201047968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 201047968 is about 14179.1384787652. The cubic root of 201047968 is about 585.8231944559.

The spelling of 201047968 in words is "two hundred one million, forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 368 418 437 506 608 736 836 874 1012 1307 1672 1748 2024 2614 3344 3496 4048 4807 5228 6688 6992 8096 9614 10456 13984 14377 19228 20912 24833 28754 30061 38456 41824 49666 57508 60122 76912 99332 115016 120244 153824 198664 230032 240488 273163 330671 397328 460064 480976 546326 571159 661342 794656 961952 1092652 1142318 1322684 2185304 2284636 2645368 4370608 4569272 5290736 6282749 8741216 9138544 10581472 12565498 18277088 25130996 50261992 100523984 201047968