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2093490000 = 24325473323
BaseRepresentation
bin111110011001000…
…0001111101010000
312101220021022101200
41330302001331100
513241413140000
6543422431200
7102610241250
oct17462017520
95356238350
102093490000
119847a2028
124a5132500
1327494b9a4
1415c073960
15c3bcd500
hex7cc81f50

2093490000 has 300 divisors, whose sum is σ = 8369645856. Its totient is φ = 478368000.

The previous prime is 2093489999. The next prime is 2093490001. The reversal of 2093490000 is 943902.

It is an interprime number because it is at equal distance from previous prime (2093489999) and next prime (2093490001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093490001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 628339 + ... + 631661.

Almost surely, 22093490000 is an apocalyptic number.

2093490000 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 2093490000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184822928).

2093490000 is an abundant number, since it is smaller than the sum of its proper divisors (6276155856).

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

2093490000 is a wasteful number, since it uses less digits than its factorization.

2093490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2093490000 is about 45754.6718926057. The cubic root of 2093490000 is about 1279.2545301166.

The spelling of 2093490000 in words is "two billion, ninety-three million, four hundred ninety thousand".