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1534883840 = 2115731923
BaseRepresentation
bin101101101111100…
…0111100000000000
310221222011011210122
41123133013200000
511120412240330
6412145515412
753015204000
oct13337074000
93858134718
101534883840
11718446a46
1236a042b68
131b5cb71b9
14107bc4000
158eb3a5e5
hex5b7c7800

1534883840 has 384 divisors, whose sum is σ = 4717440000. Its totient is φ = 476872704.

The previous prime is 1534883797. The next prime is 1534883843. The reversal of 1534883840 is 483884351.

It is a junction number, because it is equal to n+sod(n) for n = 1534883791 and 1534883800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1534883843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66734069 + ... + 66734091.

It is an arithmetic number, because the mean of its divisors is an integer number (12285000).

Almost surely, 21534883840 is an apocalyptic number.

1534883840 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 1534883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720000).

1534883840 is an abundant number, since it is smaller than the sum of its proper divisors (3182556160).

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

1534883840 is an equidigital number, since it uses as much as digits as its factorization.

1534883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 1534883840 is about 39177.5935963402. The cubic root of 1534883840 is about 1153.5201126066.

The spelling of 1534883840 in words is "one billion, five hundred thirty-four million, eight hundred eighty-three thousand, eight hundred forty".