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2113453440 = 273257234353
BaseRepresentation
bin111110111111000…
…1011110110000000
312110021211120002100
41331332023312000
513312021002230
6545414350400
7103242025560
oct17576136600
95407746070
102113453440
11994a9793a
124ab95b400
13278b1b587
1416098cda0
15c5823660
hex7df8bd80

2113453440 has 768 divisors, whose sum is σ = 9073658880. Its totient is φ = 442810368.

The previous prime is 2113453421. The next prime is 2113453451. The reversal of 2113453440 is 443543112.

It is a happy number.

2113453440 is a `hidden beast` number, since 211 + 3 + 4 + 5 + 3 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39876454 + ... + 39876506.

It is an arithmetic number, because the mean of its divisors is an integer number (11814660).

Almost surely, 22113453440 is an apocalyptic number.

2113453440 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 2113453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536829440).

2113453440 is an abundant number, since it is smaller than the sum of its proper divisors (6960205440).

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

2113453440 is a wasteful number, since it uses less digits than its factorization.

2113453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

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

The square root of 2113453440 is about 45972.3116669153. The cubic root of 2113453440 is about 1283.3079800842.

Adding to 2113453440 its reverse (443543112), we get a palindrome (2556996552).

The spelling of 2113453440 in words is "two billion, one hundred thirteen million, four hundred fifty-three thousand, four hundred forty".