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142759040 = 275223061
BaseRepresentation
bin10001000001001…
…01010010000000
3100221121220120212
420200211102000
5243021242130
622055453252
73352301054
oct1040452200
9327556525
10142759040
1173646a86
123b987228
1323765108
1414d61c64
15c7ede95
hex8825480

142759040 has 32 divisors (see below), whose sum is σ = 341284860. Its totient is φ = 57103360.

The previous prime is 142759039. The next prime is 142759063. The reversal of 142759040 is 40957241.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 140375104 + 2383936 = 11848^2 + 1544^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 142758988 and 142759006.

It is an unprimeable number.

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, 110891 + ... + 112170.

Almost surely, 2142759040 is an apocalyptic number.

142759040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142759040 is an abundant number, since it is smaller than the sum of its proper divisors (198525820).

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

142759040 is an equidigital number, since it uses as much as digits as its factorization.

142759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223080 (or 223068 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 142759040 is about 11948.1814515850. The cubic root of 142759040 is about 522.6382683909.

The spelling of 142759040 in words is "one hundred forty-two million, seven hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 223061 446122 892244 1115305 1784488 2230610 3568976 4461220 7137952 8922440 14275904 17844880 28551808 35689760 71379520 142759040