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845680000 = 275411312
BaseRepresentation
bin110010011010000…
…000110110000000
32011221021222212111
4302122000312000
53212443230000
6215525505104
726646106234
oct6232006600
92157258774
10845680000
113a44009a0
121b7272194
13106287b89
148045a5c4
154e39bcba
hex32680d80

845680000 has 240 divisors, whose sum is σ = 2373130980. Its totient is φ = 297600000.

The previous prime is 845679997. The next prime is 845680019. The reversal of 845680000 is 86548.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27279985 + ... + 27280015.

Almost surely, 2845680000 is an apocalyptic number.

845680000 is a gapful number since it is divisible by the number (80) 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 845680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186565490).

845680000 is an abundant number, since it is smaller than the sum of its proper divisors (1527450980).

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

845680000 is an equidigital number, since it uses as much as digits as its factorization.

845680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 845680000 is about 29080.5777109053. The cubic root of 845680000 is about 945.6607269538.

The spelling of 845680000 in words is "eight hundred forty-five million, six hundred eighty thousand".