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142307456 = 272694133
BaseRepresentation
bin10000111101101…
…11000010000000
3100220202222010112
420132313002000
5242412314311
622042050452
73345410354
oct1036670200
9326688115
10142307456
1173368775
123b7a9a28
13236376c5
1414c85464
15c76028b
hex87b7080

142307456 has 32 divisors (see below), whose sum is σ = 284625900. Its totient is φ = 70872064.

The previous prime is 142307447. The next prime is 142307471. The reversal of 142307456 is 654703241.

It can be written as a sum of positive squares in 2 ways, for example, as 139617856 + 2689600 = 11816^2 + 1640^2 .

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 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 3 ways as a sum of consecutive naturals, for example, 32366 + ... + 36498.

Almost surely, 2142307456 is an apocalyptic number.

142307456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142307456 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

142307456 is an equidigital number, since it uses as much as digits as its factorization.

142307456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4416 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 142307456 is about 11929.2688795248. The cubic root of 142307456 is about 522.0866060067.

The spelling of 142307456 in words is "one hundred forty-two million, three hundred seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 269 538 1076 2152 4133 4304 8266 8608 16532 17216 33064 34432 66128 132256 264512 529024 1111777 2223554 4447108 8894216 17788432 35576864 71153728 142307456