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142668576 = 2532495377
BaseRepresentation
bin10001000000011…
…11001100100000
3100221110022111100
420200033030200
5243010343301
622053514400
73351443241
oct1040171440
9327408440
10142668576
1173595016
123b942a00
1323732b9b
1414d3acc8
15c7d2286
hex880f320

142668576 has 36 divisors (see below), whose sum is σ = 405714582. Its totient is φ = 47556096.

The previous prime is 142668553. The next prime is 142668577. The reversal of 142668576 is 675866241.

142668576 is a `hidden beast` number, since 14 + 2 + 6 + 68 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142563600 + 104976 = 11940^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (142668577) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 247401 + ... + 247976.

Almost surely, 2142668576 is an apocalyptic number.

142668576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142668576 is an abundant number, since it is smaller than the sum of its proper divisors (263046006).

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

142668576 is a wasteful number, since it uses less digits than its factorization.

142668576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495393 (or 495382 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 142668576 is about 11944.3951709578. The cubic root of 142668576 is about 522.5278493737.

The spelling of 142668576 in words is "one hundred forty-two million, six hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 495377 990754 1486131 1981508 2972262 3963016 4458393 5944524 7926032 8916786 11889048 15852064 17833572 23778096 35667144 47556192 71334288 142668576