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201032496 = 2433729497
BaseRepresentation
bin10111111101110…
…00001100110000
3112000021111202000
423332320030300
5402431014441
631540454000
74660514400
oct1376701460
9460244660
10201032496
11a3528765
12573aa300
1332859252
141c9b0800
15129b02b6
hexbfb8330

201032496 has 120 divisors (see below), whose sum is σ = 671318640. Its totient is φ = 57431808.

The previous prime is 201032449. The next prime is 201032527. The reversal of 201032496 is 694230102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16420 + ... + 25916.

It is an arithmetic number, because the mean of its divisors is an integer number (5594322).

Almost surely, 2201032496 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 201032496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335659320).

201032496 is an abundant number, since it is smaller than the sum of its proper divisors (470286144).

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

201032496 is a wasteful number, since it uses less digits than its factorization.

201032496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9528 (or 9509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 201032496 is about 14178.5928779974. The cubic root of 201032496 is about 585.8081663856.

Adding to 201032496 its reverse (694230102), we get a palindrome (895262598).

The spelling of 201032496 in words is "two hundred one million, thirty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 9497 10584 18994 21168 28491 37988 56982 66479 75976 85473 113964 132958 151952 170946 199437 227928 256419 265916 341892 398874 455856 465353 512838 531832 598311 683784 797748 930706 1025676 1063664 1196622 1367568 1396059 1595496 1794933 1861412 2051352 2393244 2792118 3190992 3589866 3722824 4102704 4188177 4786488 5584236 7179732 7445648 8376354 9572976 11168472 12564531 14359464 16752708 22336944 25129062 28718928 33505416 50258124 67010832 100516248 201032496