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2054235120 = 243571724231
BaseRepresentation
bin111101001110001…
…0010001111110000
312022011101221211020
41322130102033300
513201341010440
6535501215440
7101622465450
oct17234221760
95264357736
102054235120
11964620283
12493b61580
13269786352
14156b75d60
15c05273d0
hex7a7123f0

2054235120 has 240 divisors, whose sum is σ = 7732981248. Its totient is φ = 441815040.

The previous prime is 2054235067. The next prime is 2054235149. The reversal of 2054235120 is 215324502.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483405 + ... + 487635.

Almost surely, 22054235120 is an apocalyptic number.

2054235120 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 2054235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866490624).

2054235120 is an abundant number, since it is smaller than the sum of its proper divisors (5678746128).

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

2054235120 is a wasteful number, since it uses less digits than its factorization.

2054235120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2054235120 is about 45323.6706368758. The cubic root of 2054235120 is about 1271.2082906080.

Adding to 2054235120 its reverse (215324502), we get a palindrome (2269559622).

The spelling of 2054235120 in words is "two billion, fifty-four million, two hundred thirty-five thousand, one hundred twenty".