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1656142020 = 2232513707753
BaseRepresentation
bin110001010110110…
…1011100011000100
311021102022201202100
41202231223203010
511342433021040
6432200512100
756016655251
oct14255534304
94242281670
101656142020
1177a938015
123a277b630
132051619c0
14119d4a428
159a5ddb30
hex62b6b8c4

1656142020 has 72 divisors (see below), whose sum is σ = 5410071576. Its totient is φ = 407665152.

The previous prime is 1656142001. The next prime is 1656142027. The reversal of 1656142020 is 202416561.

1656142020 is a `hidden beast` number, since 1 + 6 + 5 + 614 + 20 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21233664 + 1634908356 = 4608^2 + 40434^2 .

It is not an unprimeable number, because it can be changed into a prime (1656142027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351537 + ... + 356216.

It is an arithmetic number, because the mean of its divisors is an integer number (75139883).

Almost surely, 21656142020 is an apocalyptic number.

1656142020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1656142020 is an abundant number, since it is smaller than the sum of its proper divisors (3753929556).

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

1656142020 is a wasteful number, since it uses less digits than its factorization.

1656142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707781 (or 707776 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1656142020 is about 40695.7248368917. The cubic root of 1656142020 is about 1183.1301600970.

Adding to 1656142020 its reverse (202416561), we get a palindrome (1858558581).

The spelling of 1656142020 in words is "one billion, six hundred fifty-six million, one hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 707753 1415506 2123259 2831012 3538765 4246518 6369777 7077530 8493036 9200789 10616295 12739554 14155060 18401578 21232590 25479108 27602367 31848885 36803156 42465180 46003945 55204734 63697770 82807101 92007890 110409468 127395540 138011835 165614202 184015780 276023670 331228404 414035505 552047340 828071010 1656142020