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5830902000 = 2432537211601
BaseRepresentation
bin1010110111000110…
…01000000011110000
3120001100212111211100
411123203020003300
543420202331000
62402332244400
7264331564200
oct53343100360
916040774740
105830902000
112522434a80
121168910700
1371c041191
143d4592400
15241d84a00
hex15b8c80f0

5830902000 has 720 divisors, whose sum is σ = 25887030624. Its totient is φ = 1209600000.

The previous prime is 5830901987. The next prime is 5830902013. The reversal of 5830902000 is 2090385.

It is an interprime number because it is at equal distance from previous prime (5830901987) and next prime (5830902013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9701700 + ... + 9702300.

Almost surely, 25830902000 is an apocalyptic number.

5830902000 is a gapful number since it is divisible by the number (50) 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 5830902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12943515312).

5830902000 is an abundant number, since it is smaller than the sum of its proper divisors (20056128624).

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

5830902000 is a wasteful number, since it uses less digits than its factorization.

5830902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5830902000 is about 76360.3431108059. The cubic root of 5830902000 is about 1799.8870299471.

Adding to 5830902000 its reverse (2090385), we get a palindrome (5832992385).

The spelling of 5830902000 in words is "five billion, eight hundred thirty million, nine hundred two thousand".