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2134423120 = 24526680289
BaseRepresentation
bin111111100111000…
…1011011001010000
312111202021221002011
41333032023121100
513332403014440
6551444032304
7103615203634
oct17716133120
95452257064
102134423120
119a590a755
124b6992694
1328028117b
1416368adc4
15c75b69ea
hex7f38b650

2134423120 has 20 divisors (see below), whose sum is σ = 4962533940. Its totient is φ = 853769216.

The previous prime is 2134423061. The next prime is 2134423139. The reversal of 2134423120 is 213244312.

It can be written as a sum of positive squares in 2 ways, for example, as 1225280016 + 909143104 = 35004^2 + 30152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2134423091 and 2134423100.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 13340065 + ... + 13340224.

It is an arithmetic number, because the mean of its divisors is an integer number (248126697).

Almost surely, 22134423120 is an apocalyptic number.

2134423120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134423120 is an abundant number, since it is smaller than the sum of its proper divisors (2828110820).

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

2134423120 is a wasteful number, since it uses less digits than its factorization.

2134423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26680302 (or 26680296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2134423120 is about 46199.8173156561. The cubic root of 2134423120 is about 1287.5383457961.

Adding to 2134423120 its reverse (213244312), we get a palindrome (2347667432).

The spelling of 2134423120 in words is "two billion, one hundred thirty-four million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26680289 53360578 106721156 133401445 213442312 266802890 426884624 533605780 1067211560 2134423120