Search a number
-
+
142646336 = 267318407
BaseRepresentation
bin10001000000010…
…01110001000000
3100221102011222122
420200021301000
5243004140321
622053223412
73351321350
oct1040116100
9327364878
10142646336
117357a338
123b931b68
1323725a21
1414d32b60
15c7ca8ab
hex8809c40

142646336 has 28 divisors (see below), whose sum is σ = 323502528. Its totient is φ = 61133952.

The previous prime is 142646327. The next prime is 142646377. The reversal of 142646336 is 633646241.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 142646296 and 142646305.

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, 158756 + ... + 159651.

Almost surely, 2142646336 is an apocalyptic number.

142646336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142646336 is an abundant number, since it is smaller than the sum of its proper divisors (180856192).

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

142646336 is an equidigital number, since it uses as much as digits as its factorization.

142646336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318426 (or 318416 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 142646336 is about 11943.4641540886. The cubic root of 142646336 is about 522.5006964117.

The spelling of 142646336 in words is "one hundred forty-two million, six hundred forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 318407 636814 1273628 2228849 2547256 4457698 5094512 8915396 10189024 17830792 20378048 35661584 71323168 142646336