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2120454000 = 243253716829
BaseRepresentation
bin111111001100011…
…1000111101110000
312110210000020001100
41332120320331300
513320314012000
6550224404400
7103355363430
oct17630707560
95423006040
102120454000
11998a39525
124b2176700
1327a3ccb12
141618922c0
15c6257a00
hex7e638f70

2120454000 has 240 divisors, whose sum is σ = 8464547520. Its totient is φ = 484646400.

The previous prime is 2120453983. The next prime is 2120454023. The reversal of 2120454000 is 4540212.

2120454000 is a `hidden beast` number, since 2 + 120 + 4 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21204540002 = 8992650332232000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 117586 + ... + 134414.

It is an arithmetic number, because the mean of its divisors is an integer number (35268948).

Almost surely, 22120454000 is an apocalyptic number.

2120454000 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 2120454000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232273760).

2120454000 is an abundant number, since it is smaller than the sum of its proper divisors (6344093520).

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

2120454000 is a wasteful number, since it uses less digits than its factorization.

2120454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865 (or 16846 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2120454000 is about 46048.3875939212. The cubic root of 2120454000 is about 1284.7233528611.

Adding to 2120454000 its reverse (4540212), we get a palindrome (2124994212).

The spelling of 2120454000 in words is "two billion, one hundred twenty million, four hundred fifty-four thousand".