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1590005142 = 232118030329
BaseRepresentation
bin101111011000101…
…1000110110010110
311002210212122000100
41132301120312112
511224020131032
6421435154530
754254551335
oct13661306626
94083778010
101590005142
11746575440
123845a5a46
131c454665b
14111251d1c
15948c797c
hex5ec58d96

1590005142 has 24 divisors (see below), whose sum is σ = 3758194440. Its totient is φ = 481819680.

The previous prime is 1590005041. The next prime is 1590005143. The reversal of 1590005142 is 2415000951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1590005143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4014967 + ... + 4015362.

It is an arithmetic number, because the mean of its divisors is an integer number (156591435).

Almost surely, 21590005142 is an apocalyptic number.

1590005142 is an abundant number, since it is smaller than the sum of its proper divisors (2168189298).

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

1590005142 is a wasteful number, since it uses less digits than its factorization.

1590005142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030348 (or 8030345 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1590005142 is about 39874.8685515075. The cubic root of 1590005142 is about 1167.1665779049.

The spelling of 1590005142 in words is "one billion, five hundred ninety million, five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 8030329 16060658 24090987 48181974 72272961 88333619 144545922 176667238 265000857 530001714 795002571 1590005142