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142359616 = 267476761
BaseRepresentation
bin10000111110000…
…11110001000000
3100220212121200101
420133003301000
5242421001431
622043132144
73346015420
oct1037036100
9326777611
10142359616
11733a3983
123b814054
1323655379
1414c9a480
15c770961
hex87c3c40

142359616 has 56 divisors (see below), whose sum is σ = 329769216. Its totient is φ = 59704320.

The previous prime is 142359611. The next prime is 142359619. The reversal of 142359616 is 616953241.

142359616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (142359611) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17676 + ... + 24436.

It is an arithmetic number, because the mean of its divisors is an integer number (5888736).

Almost surely, 2142359616 is an apocalyptic number.

142359616 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 142359616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164884608).

142359616 is an abundant number, since it is smaller than the sum of its proper divisors (187409600).

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

142359616 is an equidigital number, since it uses as much as digits as its factorization.

142359616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6827 (or 6817 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 142359616 is about 11931.4548987121. The cubic root of 142359616 is about 522.1503850752.

The spelling of 142359616 in words is "one hundred forty-two million, three hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 188 224 329 376 448 658 752 1316 1504 2632 3008 5264 6761 10528 13522 21056 27044 47327 54088 94654 108176 189308 216352 317767 378616 432704 635534 757232 1271068 1514464 2224369 2542136 3028928 4448738 5084272 8897476 10168544 17794952 20337088 35589904 71179808 142359616