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142566368 = 2572392663
BaseRepresentation
bin10000111111101…
…10001111100000
3100221021010021212
420133312033200
5242444110433
622051405252
73350536250
oct1037661740
9327233255
10142566368
117352524a
123b8b3828
13236c84c9
1414d11960
15c7b1d48
hex87f63e0

142566368 has 48 divisors (see below), whose sum is σ = 322237440. Its totient is φ = 60821376.

The previous prime is 142566289. The next prime is 142566401. The reversal of 142566368 is 863665241.

142566368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1425663682 = 40650338569422848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52205 + ... + 54867.

It is an arithmetic number, because the mean of its divisors is an integer number (6713280).

Almost surely, 2142566368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142566368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

142566368 is an abundant number, since it is smaller than the sum of its proper divisors (179671072).

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

142566368 is a wasteful number, since it uses less digits than its factorization.

142566368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2911 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 142566368 is about 11940.1159123352. The cubic root of 142566368 is about 522.4030396305.

The spelling of 142566368 in words is "one hundred forty-two million, five hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 2663 3346 3824 5326 6692 7648 10652 13384 18641 21304 26768 37282 42608 53536 74564 85216 149128 298256 596512 636457 1272914 2545828 4455199 5091656 8910398 10183312 17820796 20366624 35641592 71283184 142566368