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2154364128 = 2536779167
BaseRepresentation
bin1000000001101000…
…1111110011100000
312120010211001000000
42000122033303200
513403004123003
6553435300000
7104246535660
oct20032176340
95503731000
102154364128
11a0609a724
125015aa600
13284443797
1416619c1a0
15c92051a3
hex8068fce0

2154364128 has 336 divisors, whose sum is σ = 7403719680. Its totient is φ = 604101888.

The previous prime is 2154364073. The next prime is 2154364133. The reversal of 2154364128 is 8214634512.

It is a happy number.

2154364128 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 3 + 641 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2154364092 and 2154364101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12900301 + ... + 12900467.

It is an arithmetic number, because the mean of its divisors is an integer number (22034880).

Almost surely, 22154364128 is an apocalyptic number.

2154364128 is a gapful number since it is divisible by the number (28) 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 2154364128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701859840).

2154364128 is an abundant number, since it is smaller than the sum of its proper divisors (5249355552).

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

2154364128 is an equidigital number, since it uses as much as digits as its factorization.

2154364128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2154364128 is about 46415.1282234575. The cubic root of 2154364128 is about 1291.5355645853.

The spelling of 2154364128 in words is "two billion, one hundred fifty-four million, three hundred sixty-four thousand, one hundred twenty-eight".