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201432042 = 23372269283
BaseRepresentation
bin11000000000110…
…01101111101010
3112001000210211000
430000121233222
5403031311132
631553215430
74664100300
oct1400315752
9461023730
10201432042
11a3780969
1257561576
1332969076
141ca76270
1512a3d87c
hexc019bea

201432042 has 96 divisors (see below), whose sum is σ = 524491200. Its totient is φ = 57135456.

The previous prime is 201432029. The next prime is 201432047. The reversal of 201432042 is 240234102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201432047) 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 47 ways as a sum of consecutive naturals, for example, 711633 + ... + 711915.

It is an arithmetic number, because the mean of its divisors is an integer number (5463450).

Almost surely, 2201432042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201432042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262245600).

201432042 is an abundant number, since it is smaller than the sum of its proper divisors (323059158).

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

201432042 is a wasteful number, since it uses less digits than its factorization.

201432042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201432042 is about 14192.6756462621. The cubic root of 201432042 is about 586.1960015609.

Adding to 201432042 its reverse (240234102), we get a palindrome (441666144).

The spelling of 201432042 in words is "two hundred one million, four hundred thirty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 269 283 294 378 441 538 566 807 849 882 1323 1614 1698 1883 1981 2421 2547 2646 3766 3962 4842 5094 5649 5943 7263 7641 11298 11886 13181 13867 14526 15282 16947 17829 26362 27734 33894 35658 39543 41601 50841 53487 76127 79086 83202 101682 106974 118629 124803 152254 228381 237258 249606 355887 374409 456762 532889 685143 711774 748818 1065778 1370286 1598667 2055429 3197334 3730223 4110858 4796001 7460446 9592002 11190669 14388003 22381338 28776006 33572007 67144014 100716021 201432042