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142664320 = 275222913
BaseRepresentation
bin10001000000011…
…10001010000000
3100221110002122201
420200032022000
5243010224240
622053442544
73351424651
oct1040161200
9327402581
10142664320
11735918a7
123b940454
1323730c76
1414d39528
15c7d0d9a
hex880e280

142664320 has 32 divisors (see below), whose sum is σ = 341058420. Its totient is φ = 57065472.

The previous prime is 142664309. The next prime is 142664321. The reversal of 142664320 is 23466241.

142664320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 142659136 + 5184 = 11944^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (142664321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110817 + ... + 112096.

Almost surely, 2142664320 is an apocalyptic number.

142664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142664320 is an abundant number, since it is smaller than the sum of its proper divisors (198394100).

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

142664320 is an equidigital number, since it uses as much as digits as its factorization.

142664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222932 (or 222920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 142664320 is about 11944.2170107546. The cubic root of 142664320 is about 522.5226534137.

The spelling of 142664320 in words is "one hundred forty-two million, six hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 222913 445826 891652 1114565 1783304 2229130 3566608 4458260 7133216 8916520 14266432 17833040 28532864 35666080 71332160 142664320