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2930851840 = 2145719269
BaseRepresentation
bin1010111010110001…
…0100000000000000
321120020220200220011
42232230110000000
522000244224330
61202454154304
7132425554360
oct25654240000
97506820804
102930851840
111274431404
12699652994
13379283677
141db3669a0
1512248582a
hexaeb14000

2930851840 has 240 divisors, whose sum is σ = 8493206400. Its totient is φ = 948436992.

The previous prime is 2930851829. The next prime is 2930851883. The reversal of 2930851840 is 481580392.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2930851793 and 2930851802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10895226 + ... + 10895494.

It is an arithmetic number, because the mean of its divisors is an integer number (35388360).

Almost surely, 22930851840 is an apocalyptic number.

2930851840 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 2930851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246603200).

2930851840 is an abundant number, since it is smaller than the sum of its proper divisors (5562354560).

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

2930851840 is an equidigital number, since it uses as much as digits as its factorization.

2930851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 2930851840 is about 54137.3423802831. The cubic root of 2930851840 is about 1431.0823370656.

The spelling of 2930851840 in words is "two billion, nine hundred thirty million, eight hundred fifty-one thousand, eight hundred forty".