Search a number
-
+
142030656 = 26321911291
BaseRepresentation
bin10000111011100…
…11011101000000
3100220020220102200
420131303131000
5242324440111
622032113200
73343145355
oct1035633500
9326226380
10142030656
1173199809
123b695800
132356b711
1414c1262c
15c708256
hex8773740

142030656 has 84 divisors (see below), whose sum is σ = 409553664. Its totient is φ = 47059200.

The previous prime is 142030649. The next prime is 142030657. The reversal of 142030656 is 656030241.

142030656 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 3 + 0 + 656 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142030657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109371 + ... + 110661.

Almost surely, 2142030656 is an apocalyptic number.

142030656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204776832).

142030656 is an abundant number, since it is smaller than the sum of its proper divisors (267523008).

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

142030656 is a wasteful number, since it uses less digits than its factorization.

142030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 142030656 is about 11917.6615155827. The cubic root of 142030656 is about 521.7478854763.

Adding to 142030656 its reverse (656030241), we get a palindrome (798060897).

The spelling of 142030656 in words is "one hundred forty-two million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1291 1528 1719 2292 2582 3056 3438 3873 4584 5164 6112 6876 7746 9168 10328 11619 12224 13752 15492 18336 20656 23238 27504 30984 36672 41312 46476 55008 61968 82624 92952 110016 123936 185904 246581 247872 371808 493162 739743 743616 986324 1479486 1972648 2219229 2958972 3945296 4438458 5917944 7890592 8876916 11835888 15781184 17753832 23671776 35507664 47343552 71015328 142030656