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142484160 = 26357213233
BaseRepresentation
bin10000111111000…
…10001011000000
3100221002221112010
420133202023000
5242433443120
622045532520
73350044500
oct1037421300
9327087463
10142484160
1173479505
123b874140
1323699c70
1414ccda00
15c7977e0
hex87e22c0

142484160 has 336 divisors, whose sum is σ = 569159136. Its totient is φ = 29933568.

The previous prime is 142484159. The next prime is 142484171. The reversal of 142484160 is 61484241.

142484160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611404 + ... + 611636.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2142484160 is an apocalyptic number.

142484160 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 142484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

142484160 is an abundant number, since it is smaller than the sum of its proper divisors (426674976).

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

142484160 is a wasteful number, since it uses less digits than its factorization.

142484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 142484160 is about 11936.6729032842. The cubic root of 142484160 is about 522.3026092907.

The spelling of 142484160 in words is "one hundred forty-two million, four hundred eighty-four thousand, one hundred sixty".