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2040129 = 327134753
BaseRepresentation
bin111110010000101000001
310211122112100
413302011001
51010241004
6111421013
723224620
oct7620501
93748470
102040129
111173863
12824769
135657a0
143b16b7
152a4739
hex1f2141

2040129 has 48 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 1033344.

The previous prime is 2040113. The next prime is 2040133. The reversal of 2040129 is 9210402.

It is not a de Polignac number, because 2040129 - 24 = 2040113 is a prime.

It is a Curzon number.

2040129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2040109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38467 + ... + 38519.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

22040129 is an apocalyptic number.

It is an amenable number.

2040129 is a deficient number, since it is larger than the sum of its proper divisors (1733823).

2040129 is a wasteful number, since it uses less digits than its factorization.

2040129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2040129 is about 1428.3308440274. The cubic root of 2040129 is about 126.8291873553.

The spelling of 2040129 in words is "two million, forty thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 13 21 39 47 53 63 91 117 141 159 273 329 371 423 477 611 689 819 987 1113 1833 2067 2491 2961 3339 4277 4823 5499 6201 7473 12831 14469 17437 22419 32383 38493 43407 52311 97149 156933 226681 291447 680043 2040129