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142432560 = 24335234761
BaseRepresentation
bin10000111110101…
…01100100110000
3100221000022202000
420133111210300
5242430320220
622044454000
73346441164
oct1037254460
9327008660
10142432560
1173443766
123b84a300
132367c62a
1414cb8ca4
15c787390
hex87d5930

142432560 has 320 divisors, whose sum is σ = 531394560. Its totient is φ = 34974720.

The previous prime is 142432547. The next prime is 142432597. The reversal of 142432560 is 65234241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2334930 + ... + 2334990.

It is an arithmetic number, because the mean of its divisors is an integer number (1660608).

Almost surely, 2142432560 is an apocalyptic number.

142432560 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 142432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265697280).

142432560 is an abundant number, since it is smaller than the sum of its proper divisors (388962000).

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

142432560 is a wasteful number, since it uses less digits than its factorization.

142432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 142432560 is about 11934.5113012641. The cubic root of 142432560 is about 522.2395518284.

The spelling of 142432560 in words is "one hundred forty-two million, four hundred thirty-two thousand, five hundred sixty".