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2141534520 = 23325167179199
BaseRepresentation
bin111111110100101…
…0011100100111000
312112020200020002100
41333221103210320
513341213101040
6552300303400
7104032512606
oct17751234470
95466606070
102141534520
119a9927644
124b9241b60
132818a0cb8
141645bc876
15c801db30
hex7fa53938

2141534520 has 192 divisors, whose sum is σ = 7076160000. Its totient is φ = 561648384.

The previous prime is 2141534513. The next prime is 2141534561. The reversal of 2141534520 is 254351412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10761381 + ... + 10761579.

It is an arithmetic number, because the mean of its divisors is an integer number (36855000).

Almost surely, 22141534520 is an apocalyptic number.

2141534520 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 2141534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080000).

2141534520 is an abundant number, since it is smaller than the sum of its proper divisors (4934625480).

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

2141534520 is a wasteful number, since it uses less digits than its factorization.

2141534520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2141534520 is about 46276.7168239062. The cubic root of 2141534520 is about 1288.9666864896.

Adding to 2141534520 its reverse (254351412), we get a palindrome (2395885932).

The spelling of 2141534520 in words is "two billion, one hundred forty-one million, five hundred thirty-four thousand, five hundred twenty".