Search a number
-
+
642136710 = 235671671913
BaseRepresentation
bin100110010001100…
…011101010000110
31122202021220222010
4212101203222012
52303341333320
6143415115050
721625033455
oct4621435206
91582256863
10642136710
112aa5188a6
1215b072a86
13a305cb67
14613d4b9c
153b592ae0
hex26463a86

642136710 has 64 divisors (see below), whose sum is σ = 1574318592. Its totient is φ = 167582976.

The previous prime is 642136687. The next prime is 642136757. The reversal of 642136710 is 17631246.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 334714 + ... + 336626.

It is an arithmetic number, because the mean of its divisors is an integer number (24598728).

Almost surely, 2642136710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642136710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787159296).

642136710 is an abundant number, since it is smaller than the sum of its proper divisors (932181882).

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

642136710 is a wasteful number, since it uses less digits than its factorization.

642136710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 642136710 is about 25340.4165316989. The cubic root of 642136710 is about 862.7318528128.

Adding to 642136710 its reverse (17631246), we get a palindrome (659767956).

The spelling of 642136710 in words is "six hundred forty-two million, one hundred thirty-six thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 167 201 334 335 402 501 670 835 1002 1005 1670 1913 2010 2505 3826 5010 5739 9565 11189 11478 19130 22378 28695 33567 55945 57390 67134 111890 128171 167835 256342 319471 335670 384513 638942 640855 769026 958413 1281710 1597355 1916826 1922565 3194710 3845130 4792065 9584130 21404557 42809114 64213671 107022785 128427342 214045570 321068355 642136710