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2053411200 = 273252374147
BaseRepresentation
bin111101001100100…
…1001000110000000
312022002212002121200
41322121021012000
513201133124300
6535431421200
7101612464401
oct17231110600
95262762550
102053411200
11964108255
12493824800
13269558319
141569dd9a8
15c0413200
hex7a649180

2053411200 has 576 divisors, whose sum is σ = 7872621120. Its totient is φ = 508723200.

The previous prime is 2053411189. The next prime is 2053411223. The reversal of 2053411200 is 21143502.

2053411200 is a `hidden beast` number, since 2 + 0 + 53 + 411 + 200 = 666.

2053411200 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 (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43689577 + ... + 43689623.

It is an arithmetic number, because the mean of its divisors is an integer number (13667745).

Almost surely, 22053411200 is an apocalyptic number.

2053411200 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 2053411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936310560).

2053411200 is an abundant number, since it is smaller than the sum of its proper divisors (5819209920).

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

2053411200 is a wasteful number, since it uses less digits than its factorization.

2053411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2053411200 is about 45314.5804349991. The cubic root of 2053411200 is about 1271.0383142854.

Adding to 2053411200 its reverse (21143502), we get a palindrome (2074554702).

The spelling of 2053411200 in words is "two billion, fifty-three million, four hundred eleven thousand, two hundred".