Search a number
-
+
642035260 = 225172397901
BaseRepresentation
bin100110010001001…
…010111000111100
31122202002202210201
4212101022320330
52303330112020
6143413013244
721624131626
oct4621127074
91582082721
10642035260
112aa459659
1215b024224
13a3025929
14613a9c16
153b572a0a
hex2644ae3c

642035260 has 48 divisors (see below), whose sum is σ = 1433738880. Its totient is φ = 240665600.

The previous prime is 642035257. The next prime is 642035267. The reversal of 642035260 is 62530246.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642035267) 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, 77310 + ... + 85210.

It is an arithmetic number, because the mean of its divisors is an integer number (29869560).

Almost surely, 2642035260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642035260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716869440).

642035260 is an abundant number, since it is smaller than the sum of its proper divisors (791703620).

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

642035260 is a wasteful number, since it uses less digits than its factorization.

642035260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 642035260 is about 25338.4147096854. The cubic root of 642035260 is about 862.6864166127.

The spelling of 642035260 in words is "six hundred forty-two million, thirty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 239 340 478 956 1195 2390 4063 4780 7901 8126 15802 16252 20315 31604 39505 40630 79010 81260 134317 158020 268634 537268 671585 1343170 1888339 2686340 3776678 7553356 9441695 18883390 32101763 37766780 64203526 128407052 160508815 321017630 642035260