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2872056000 = 263531122343
BaseRepresentation
bin1010101100110000…
…0001100011000000
321102011021120011110
42223030001203000
521340221243000
61152554043320
7131113034052
oct25314014300
97364246143
102872056000
111244223200
12681a19540
1336a038828
141d361d8d2
1511c21e850
hexab3018c0

2872056000 has 672 divisors, whose sum is σ = 11130223104. Its totient is φ = 650496000.

The previous prime is 2872055999. The next prime is 2872056001. The reversal of 2872056000 is 6502782.

It is an interprime number because it is at equal distance from previous prime (2872055999) and next prime (2872056001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872056001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66791979 + ... + 66792021.

It is an arithmetic number, because the mean of its divisors is an integer number (16562832).

Almost surely, 22872056000 is an apocalyptic number.

2872056000 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 2872056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5565111552).

2872056000 is an abundant number, since it is smaller than the sum of its proper divisors (8258167104).

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

2872056000 is a wasteful number, since it uses less digits than its factorization.

2872056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2872056000 is about 53591.5665007098. The cubic root of 2872056000 is about 1421.4479708663.

Adding to 2872056000 its reverse (6502782), we get a palindrome (2878558782).

The spelling of 2872056000 in words is "two billion, eight hundred seventy-two million, fifty-six thousand".