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2830123800 = 23365274759
BaseRepresentation
bin1010100010110000…
…0100001100011000
321022020101012000000
42220230010030120
521244002430200
61144455213000
7130063440540
oct25054041430
97266335000
102830123800
111222592999
1266b977160
1336144668a
141cbc26320
151186da300
hexa8b04318

2830123800 has 672 divisors, whose sum is σ = 11709964800. Its totient is φ = 622391040.

The previous prime is 2830123789. The next prime is 2830123823. The reversal of 2830123800 is 83210382.

2830123800 is a `hidden beast` number, since 283 + 0 + 1 + 2 + 380 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 167 ways as a sum of consecutive naturals, for example, 47968171 + ... + 47968229.

Almost surely, 22830123800 is an apocalyptic number.

2830123800 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 2830123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854982400).

2830123800 is an abundant number, since it is smaller than the sum of its proper divisors (8879841000).

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

2830123800 is a wasteful number, since it uses less digits than its factorization.

2830123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2830123800 is about 53198.9078835271. The cubic root of 2830123800 is about 1414.4962850578.

The spelling of 2830123800 in words is "two billion, eight hundred thirty million, one hundred twenty-three thousand, eight hundred".