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642541420 = 2251072111423
BaseRepresentation
bin100110010011000…
…110011101101100
31122210001111010101
4212103012131230
52303442311140
6143431520444
721631340413
oct4623063554
91583044111
10642541420
112aa774974
1215b229124
13a3172131
146149c47a
153b62299a
hex264c676c

642541420 has 48 divisors (see below), whose sum is σ = 1369363968. Its totient is φ = 253229760.

The previous prime is 642541379. The next prime is 642541421. The reversal of 642541420 is 24145246.

642541420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (642541421) 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, 450829 + ... + 452251.

It is an arithmetic number, because the mean of its divisors is an integer number (28528416).

Almost surely, 2642541420 is an apocalyptic number.

It is an amenable number.

642541420 is an abundant number, since it is smaller than the sum of its proper divisors (726822548).

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

642541420 is a wasteful number, since it uses less digits than its factorization.

642541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 642541420 is about 25348.4007385081. The cubic root of 642541420 is about 862.9130618274.

Adding to 642541420 its reverse (24145246), we get a palindrome (666686666).

The spelling of 642541420 in words is "six hundred forty-two million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 107 211 214 422 428 535 844 1055 1070 1423 2110 2140 2846 4220 5692 7115 14230 22577 28460 45154 90308 112885 152261 225770 300253 304522 451540 600506 609044 761305 1201012 1501265 1522610 3002530 3045220 6005060 32127071 64254142 128508284 160635355 321270710 642541420