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2056094880 = 2535721943107
BaseRepresentation
bin111101010001101…
…1000010010100000
312022021220102221020
41322203120102200
513202330014010
6540005125440
7101644342500
oct17243302240
95267812836
102056094880
11965680574
124946b9880
13269c879b8
141570dba00
15c0793470
hex7a8d84a0

2056094880 has 576 divisors, whose sum is σ = 8190927360. Its totient is φ = 430811136.

The previous prime is 2056094851. The next prime is 2056094881. The reversal of 2056094880 is 884906502.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2056094881) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 19215787 + ... + 19215893.

It is an arithmetic number, because the mean of its divisors is an integer number (14220360).

Almost surely, 22056094880 is an apocalyptic number.

2056094880 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 2056094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095463680).

2056094880 is an abundant number, since it is smaller than the sum of its proper divisors (6134832480).

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

2056094880 is a wasteful number, since it uses less digits than its factorization.

2056094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2056094880 is about 45344.1824272971. The cubic root of 2056094880 is about 1271.5917957584.

It can be divided in two parts, 20560 and 94880, that added together give a triangular number (115440 = T480).

The spelling of 2056094880 in words is "two billion, fifty-six million, ninety-four thousand, eight hundred eighty".