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2132040420 = 223353948223
BaseRepresentation
bin111111100010100…
…0101101011100100
312111120210212122000
41333011011223210
513331300243140
6551321005300
7103556021166
oct17705055344
95446725560
102132040420
119a4532584
124b6023830
1327c9287a3
1416322a936
15c7295a30
hex7f145ae4

2132040420 has 48 divisors (see below), whose sum is σ = 6633016320. Its totient is φ = 568543968.

The previous prime is 2132040419. The next prime is 2132040511. The reversal of 2132040420 is 240402312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2132040393 and 2132040402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973572 + ... + 1974651.

It is an arithmetic number, because the mean of its divisors is an integer number (138187840).

Almost surely, 22132040420 is an apocalyptic number.

2132040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132040420 is an abundant number, since it is smaller than the sum of its proper divisors (4500975900).

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

2132040420 is a wasteful number, since it uses less digits than its factorization.

2132040420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948241 (or 3948233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2132040420 is about 46174.0232165229. The cubic root of 2132040420 is about 1287.0590656490.

Adding to 2132040420 its reverse (240402312), we get a palindrome (2372442732).

The spelling of 2132040420 in words is "two billion, one hundred thirty-two million, forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3948223 7896446 11844669 15792892 19741115 23689338 35534007 39482230 47378676 59223345 71068014 78964460 106602021 118446690 142136028 177670035 213204042 236893380 355340070 426408084 533010105 710680140 1066020210 2132040420