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2132142420 = 2235269132103
BaseRepresentation
bin111111100010101…
…1110100101010100
312111121000001112210
41333011132211110
513331312024140
6551323113420
7103556624442
oct17705364524
95447001483
102132142420
119a45a2181
124b6072870
1327c963045
14163255b92
15c72b5d80
hex7f15e954

2132142420 has 48 divisors (see below), whose sum is σ = 5992237440. Its totient is φ = 566453376.

The previous prime is 2132142409. The next prime is 2132142433. The reversal of 2132142420 is 242412312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49912 + ... + 82191.

It is an arithmetic number, because the mean of its divisors is an integer number (124838280).

Almost surely, 22132142420 is an apocalyptic number.

2132142420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132142420 is an abundant number, since it is smaller than the sum of its proper divisors (3860095020).

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

2132142420 is a wasteful number, since it uses less digits than its factorization.

2132142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132384 (or 132382 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2132142420 is about 46175.1277204514. The cubic root of 2132142420 is about 1287.0795902647.

Adding to 2132142420 its reverse (242412312), we get a palindrome (2374554732).

The spelling of 2132142420 in words is "two billion, one hundred thirty-two million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2690 3228 4035 5380 8070 16140 132103 264206 396309 528412 660515 792618 1321030 1585236 1981545 2642060 3963090 7926180 35535707 71071414 106607121 142142828 177678535 213214242 355357070 426428484 533035605 710714140 1066071210 2132142420