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142424080 = 2451780301
BaseRepresentation
bin10000111110100…
…11100000010000
3100220222220002221
420133103200100
5242430032310
622044350424
73346404361
oct1037234020
9326886087
10142424080
1173438357
123b845414
1323678806
1414cb5b68
15c784ada
hex87d3810

142424080 has 20 divisors (see below), whose sum is σ = 331136172. Its totient is φ = 56969600.

The previous prime is 142424071. The next prime is 142424089. The reversal of 142424080 is 80424241.

It is an interprime number because it is at equal distance from previous prime (142424071) and next prime (142424089).

It can be written as a sum of positive squares in 2 ways, for example, as 92467456 + 49956624 = 9616^2 + 7068^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (142424089) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 890071 + ... + 890230.

Almost surely, 2142424080 is an apocalyptic number.

142424080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142424080 is an abundant number, since it is smaller than the sum of its proper divisors (188712092).

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

142424080 is a wasteful number, since it uses less digits than its factorization.

142424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780314 (or 1780308 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 142424080 is about 11934.1560237832. The cubic root of 142424080 is about 522.2291874396.

The spelling of 142424080 in words is "one hundred forty-two million, four hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1780301 3560602 7121204 8901505 14242408 17803010 28484816 35606020 71212040 142424080