Search a number
-
+
201031968 = 2535339511
BaseRepresentation
bin10111111101110…
…00000100100000
3112000021111000110
423332320010200
5402431010333
631540451320
74660513014
oct1376700440
9460244013
10201031968
11a3528325
12573a9b40
1332858c37
141c9b0544
15129b0063
hexbfb8120

201031968 has 48 divisors (see below), whose sum is σ = 537679296. Its totient is φ = 65744640.

The previous prime is 201031907. The next prime is 201031969. The reversal of 201031968 is 869130102.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (201031969) 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, 14668 + ... + 24843.

It is an arithmetic number, because the mean of its divisors is an integer number (11201652).

Almost surely, 2201031968 is an apocalyptic number.

It is an amenable number.

201031968 is an abundant number, since it is smaller than the sum of its proper divisors (336647328).

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

201031968 is a wasteful number, since it uses less digits than its factorization.

201031968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39577 (or 39569 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 201031968 is about 14178.5742583660. The cubic root of 201031968 is about 585.8076535216.

The spelling of 201031968 in words is "two hundred one million, thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 39511 79022 118533 158044 237066 316088 474132 632176 948264 1264352 1896528 2094083 3793056 4188166 6282249 8376332 12564498 16752664 25128996 33505328 50257992 67010656 100515984 201031968