Search a number
-
+
141642606 = 237171953197
BaseRepresentation
bin10000111000101…
…00101101101110
3100212112012010110
420130110231232
5242230030411
622015520450
73336641130
oct1034245556
9325465113
10141642606
1172a54206
123b529126
1323463bc1
1414b51050
15c67d2a6
hex8714b6e

141642606 has 128 divisors (see below), whose sum is σ = 369515520. Its totient is φ = 35223552.

The previous prime is 141642569. The next prime is 141642607. The reversal of 141642606 is 606246141.

141642606 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141642607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 718900 + ... + 719096.

It is an arithmetic number, because the mean of its divisors is an integer number (2886840).

Almost surely, 2141642606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141642606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184757760).

141642606 is an abundant number, since it is smaller than the sum of its proper divisors (227872914).

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

141642606 is a wasteful number, since it uses less digits than its factorization.

141642606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 141642606 is about 11901.3699211477. The cubic root of 141642606 is about 521.2722864258.

Adding to 141642606 its reverse (606246141), we get a palindrome (747888747).

The spelling of 141642606 in words is "one hundred forty-one million, six hundred forty-two thousand, six hundred six".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 53 57 102 106 114 119 133 159 197 238 266 318 323 357 371 394 399 591 646 714 742 798 901 969 1007 1113 1182 1379 1802 1938 2014 2226 2261 2703 2758 3021 3349 3743 4137 4522 5406 6042 6307 6698 6783 7049 7486 8274 10047 10441 11229 12614 13566 14098 17119 18921 20094 20882 21147 22458 23443 26201 31323 34238 37842 42294 46886 51357 52402 62646 63631 70329 73087 78603 102714 119833 127262 140658 146174 157206 177497 190893 198379 219261 239666 354994 359499 381786 396758 438522 445417 532491 595137 718998 890834 1064982 1190274 1242479 1336251 1388653 2484958 2672502 2777306 3372443 3727437 4165959 6744886 7454874 8331918 10117329 20234658 23607101 47214202 70821303 141642606