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642260420 = 225191918849
BaseRepresentation
bin100110010010000…
…001110111000100
31122202112012122222
4212102001313010
52303404313140
6143421511512
721626060234
oct4622016704
91582465588
10642260420
112aa5a283a
1215b112598
13a30a4269
1461427cc4
153b5b95b5
hex26481dc4

642260420 has 48 divisors (see below), whose sum is σ = 1427328000. Its totient is φ = 242081280.

The previous prime is 642260389. The next prime is 642260429. The reversal of 642260420 is 24062246.

It is a self number, because there is not a number n which added to its sum of digits gives 642260420.

It is not an unprimeable number, because it can be changed into a prime (642260429) 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, 68156 + ... + 77004.

It is an arithmetic number, because the mean of its divisors is an integer number (29736000).

Almost surely, 2642260420 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 642260420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713664000).

642260420 is an abundant number, since it is smaller than the sum of its proper divisors (785067580).

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

642260420 is a wasteful number, since it uses less digits than its factorization.

642260420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 642260420 is about 25342.8573763891. The cubic root of 642260420 is about 862.7872520773.

The spelling of 642260420 in words is "six hundred forty-two million, two hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 191 380 382 764 955 1910 3629 3820 7258 8849 14516 17698 18145 35396 36290 44245 72580 88490 168131 176980 336262 672524 840655 1681310 1690159 3362620 3380318 6760636 8450795 16901590 32113021 33803180 64226042 128452084 160565105 321130210 642260420