Search a number
-
+
201240576 = 2123253103
BaseRepresentation
bin10111111111010…
…11000000000000
3112000200002011200
423333223000000
5403004144301
631545141200
74662342135
oct1377530000
9460602150
10201240576
11a3660029
125748a800
13328ccb84
141ca2658c
1512a01c86
hexbfeb000

201240576 has 156 divisors (see below), whose sum is σ = 598008528. Its totient is φ = 65175552.

The previous prime is 201240553. The next prime is 201240601. The reversal of 201240576 is 675042102.

It is a super-3 number, since 3×2012405763 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1953741 + ... + 1953843.

It is an arithmetic number, because the mean of its divisors is an integer number (3833388).

Almost surely, 2201240576 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 201240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299004264).

201240576 is an abundant number, since it is smaller than the sum of its proper divisors (396767952).

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

201240576 is a wasteful number, since it uses less digits than its factorization.

201240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 201240576 is about 14185.9288028666. The cubic root of 201240576 is about 586.0102115504.

Adding to 201240576 its reverse (675042102), we get a palindrome (876282678).

The spelling of 201240576 in words is "two hundred one million, two hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 103 106 128 144 159 192 206 212 256 288 309 318 384 412 424 477 512 576 618 636 768 824 848 927 954 1024 1152 1236 1272 1536 1648 1696 1854 1908 2048 2304 2472 2544 3072 3296 3392 3708 3816 4096 4608 4944 5088 5459 6144 6592 6784 7416 7632 9216 9888 10176 10918 12288 13184 13568 14832 15264 16377 18432 19776 20352 21836 26368 27136 29664 30528 32754 36864 39552 40704 43672 49131 52736 54272 59328 61056 65508 79104 81408 87344 98262 105472 108544 118656 122112 131016 158208 162816 174688 196524 210944 217088 237312 244224 262032 316416 325632 349376 393048 421888 474624 488448 524064 632832 651264 698752 786096 949248 976896 1048128 1265664 1397504 1572192 1898496 1953792 2096256 2795008 3144384 3796992 4192512 5590016 6288768 8385024 11180032 12577536 16770048 22360064 25155072 33540096 50310144 67080192 100620288 201240576