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2053203840 = 273251973257
BaseRepresentation
bin111101001100001…
…0110011110000000
312022002110120011200
41322120112132000
513201110010330
6535423141200
7101610642012
oct17230263600
95262416150
102053203840
11963a86486
12493744800
132694b4b1c
141569881b2
15c03c1a60
hex7a616780

2053203840 has 384 divisors, whose sum is σ = 7594797600. Its totient is φ = 509607936.

The previous prime is 2053203839. The next prime is 2053203853. The reversal of 2053203840 is 483023502.

2053203840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 7988992 + ... + 7989248.

Almost surely, 22053203840 is an apocalyptic number.

2053203840 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 2053203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797398800).

2053203840 is an abundant number, since it is smaller than the sum of its proper divisors (5541593760).

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

2053203840 is a wasteful number, since it uses less digits than its factorization.

2053203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2053203840 is about 45312.2923719381. The cubic root of 2053203840 is about 1270.9955283467.

The spelling of 2053203840 in words is "two billion, fifty-three million, two hundred three thousand, eight hundred forty".