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2132000420 = 2251122343457
BaseRepresentation
bin111111100010011…
…1011111010100100
312111120201211202112
41333010323322210
513331243003140
6551320100152
7103555463444
oct17704737244
95446654675
102132000420
119a4505520
124b6004658
1327c913514
1416321a124
15c7288c65
hex7f13bea4

2132000420 has 48 divisors (see below), whose sum is σ = 4906234368. Its totient is φ = 771778560.

The previous prime is 2132000411. The next prime is 2132000441. The reversal of 2132000420 is 240002312.

It is a junction number, because it is equal to n+sod(n) for n = 2132000395 and 2132000404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27332 + ... + 70788.

It is an arithmetic number, because the mean of its divisors is an integer number (102213216).

Almost surely, 22132000420 is an apocalyptic number.

2132000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453117184).

2132000420 is an abundant number, since it is smaller than the sum of its proper divisors (2774233948).

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

2132000420 is a wasteful number, since it uses less digits than its factorization.

2132000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43700 (or 43698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2132000420 is about 46173.5900705154. The cubic root of 2132000420 is about 1287.0510166013.

Adding to 2132000420 its reverse (240002312), we get a palindrome (2372002732).

The spelling of 2132000420 in words is "two billion, one hundred thirty-two million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2453 4460 4906 9812 12265 24530 43457 49060 86914 173828 217285 434570 478027 869140 956054 1912108 2390135 4780270 9560540 9690911 19381822 38763644 48454555 96909110 106600021 193818220 213200042 426400084 533000105 1066000210 2132000420