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2132419600 = 24525331049
BaseRepresentation
bin111111100011010…
…0010010000010000
312111121112010202201
41333012202100100
513331344411400
6551333052544
7103562160523
oct17706422020
95447463681
102132419600
119a4771453
124b6187154
1327ca2c25c
141632c8bba
15c731d06a
hex7f1a2410

2132419600 has 30 divisors (see below), whose sum is σ = 5123139050. Its totient is φ = 852967680.

The previous prime is 2132419589. The next prime is 2132419607. The reversal of 2132419600 is 69142312.

It can be written as a sum of positive squares in 3 ways, for example, as 6471936 + 2125947664 = 2544^2 + 46108^2 .

It is not an unprimeable number, because it can be changed into a prime (2132419607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2665125 + ... + 2665924.

Almost surely, 22132419600 is an apocalyptic number.

2132419600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132419600 is an abundant number, since it is smaller than the sum of its proper divisors (2990719450).

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

2132419600 is a wasteful number, since it uses less digits than its factorization.

2132419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331067 (or 5331056 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2132419600 is about 46178.1290222980. The cubic root of 2132419600 is about 1287.1353615958.

The spelling of 2132419600 in words is "two billion, one hundred thirty-two million, four hundred nineteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5331049 10662098 21324196 26655245 42648392 53310490 85296784 106620980 133276225 213241960 266552450 426483920 533104900 1066209800 2132419600