Search a number
-
+
10034141 = 132337907
BaseRepresentation
bin100110010001…
…101111011101
3200212210020212
4212101233131
510032043031
6555022205
7151201025
oct46215735
920783225
1010034141
115733887
12343a965
132104280
141492a85
15d3312b
hex991bdd

10034141 has 16 divisors (see below), whose sum is σ = 11593344. Its totient is φ = 8610624.

The previous prime is 10034113. The next prime is 10034149. The reversal of 10034141 is 14143001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10034141 - 210 = 10033117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10610 + ... + 11516.

It is an arithmetic number, because the mean of its divisors is an integer number (724584).

Almost surely, 210034141 is an apocalyptic number.

It is an amenable number.

10034141 is a deficient number, since it is larger than the sum of its proper divisors (1559203).

10034141 is a wasteful number, since it uses less digits than its factorization.

10034141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 10034141 is about 3167.6712266269. The cubic root of 10034141 is about 215.6883723553.

Adding to 10034141 its reverse (14143001), we get a palindrome (24177142).

The spelling of 10034141 in words is "ten million, thirty-four thousand, one hundred forty-one".

Divisors: 1 13 23 37 299 481 851 907 11063 11791 20861 33559 271193 436267 771857 10034141