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642134420 = 22537386077
BaseRepresentation
bin100110010001100…
…011000110010100
31122202021210211022
4212101203012110
52303341300140
6143415100312
721625024004
oct4621430624
91582253738
10642134420
112aa517104
1215b071698
13a305bac5
14613d4004
153b5920b5
hex26463194

642134420 has 24 divisors (see below), whose sum is σ = 1352113224. Its totient is φ = 256162176.

The previous prime is 642134419. The next prime is 642134429. The reversal of 642134420 is 24431246.

It can be written as a sum of positive squares in 4 ways, for example, as 43059844 + 599074576 = 6562^2 + 24476^2 .

It is a super-2 number, since 2×6421344202 = 824673226697472800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 642134420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642134429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35579 + ... + 50498.

It is an arithmetic number, because the mean of its divisors is an integer number (56338051).

Almost surely, 2642134420 is an apocalyptic number.

It is an amenable number.

642134420 is an abundant number, since it is smaller than the sum of its proper divisors (709978804).

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

642134420 is a wasteful number, since it uses less digits than its factorization.

642134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86459 (or 86457 counting only the distinct ones).

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

The square root of 642134420 is about 25340.3713469239. The cubic root of 642134420 is about 862.7308272481.

Adding to 642134420 its reverse (24431246), we get a palindrome (666565666).

The spelling of 642134420 in words is "six hundred forty-two million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 373 746 1492 1865 3730 7460 86077 172154 344308 430385 860770 1721540 32106721 64213442 128426884 160533605 321067210 642134420