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2054512320 = 26357378263
BaseRepresentation
bin111101001110101…
…0101111011000000
312022011221001001220
41322131111323000
513201423343240
6535511155040
7101625031560
oct17235257300
95264831056
102054512320
1196479a573
12494075a80
13269852583
14156c08da0
15c057e5d0
hex7a755ec0

2054512320 has 224 divisors, whose sum is σ = 7657356288. Its totient is φ = 456855552.

The previous prime is 2054512309. The next prime is 2054512331. The reversal of 2054512320 is 232154502.

It is an interprime number because it is at equal distance from previous prime (2054512309) and next prime (2054512331).

It is a tau number, because it is divible by the number of its divisors (224).

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

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 31 ways as a sum of consecutive naturals, for example, 244509 + ... + 252771.

Almost surely, 22054512320 is an apocalyptic number.

2054512320 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 2054512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828678144).

2054512320 is an abundant number, since it is smaller than the sum of its proper divisors (5602843968).

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

2054512320 is a wasteful number, since it uses less digits than its factorization.

2054512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8327 (or 8317 counting only the distinct ones).

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

The square root of 2054512320 is about 45326.7285384683. The cubic root of 2054512320 is about 1271.2654672972.

Adding to 2054512320 its reverse (232154502), we get a palindrome (2286666822).

The spelling of 2054512320 in words is "two billion, fifty-four million, five hundred twelve thousand, three hundred twenty".