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1875085680 = 2435131947673
BaseRepresentation
bin110111111000011…
…1000100101110000
311211200022012222210
41233300320211300
512320010220210
6510021332120
764315652046
oct15760704560
94750265883
101875085680
11882489696
12443b67040
1323b61c670
1413b060396
15ae93ae20
hex6fc38970

1875085680 has 320 divisors, whose sum is σ = 6739568640. Its totient is φ = 427327488.

The previous prime is 1875085679. The next prime is 1875085687. The reversal of 1875085680 is 865805781.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1875085687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785824 + ... + 2786496.

It is an arithmetic number, because the mean of its divisors is an integer number (21061152).

Almost surely, 21875085680 is an apocalyptic number.

1875085680 is a gapful number since it is divisible by the number (10) 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 1875085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369784320).

1875085680 is an abundant number, since it is smaller than the sum of its proper divisors (4864482960).

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

1875085680 is a wasteful number, since it uses less digits than its factorization.

1875085680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The square root of 1875085680 is about 43302.2595253412. The cubic root of 1875085680 is about 1233.1248195503.

The spelling of 1875085680 in words is "one billion, eight hundred seventy-five million, eighty-five thousand, six hundred eighty".