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142323696 = 24331073079
BaseRepresentation
bin10000111101110…
…10111111110000
3100220210210102000
420132322333300
5242413324241
622042254000
73345505614
oct1036727760
9326723360
10142323696
1173379999
123b7b7300
1323641c08
1414c8b344
15c764eb6
hex87baff0

142323696 has 80 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 46982592.

The previous prime is 142323673. The next prime is 142323703. The reversal of 142323696 is 696323241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142323696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44685 + ... + 47763.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2142323696 is an apocalyptic number.

142323696 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 142323696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

142323696 is an abundant number, since it is smaller than the sum of its proper divisors (270149904).

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

142323696 is a wasteful number, since it uses less digits than its factorization.

142323696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3191 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 142323696 is about 11929.9495388706. The cubic root of 142323696 is about 522.1064652706.

The spelling of 142323696 in words is "one hundred forty-two million, three hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3079 3852 5136 5778 6158 7704 9237 11556 12316 15408 18474 23112 24632 27711 36948 46224 49264 55422 73896 83133 110844 147792 166266 221688 329453 332532 443376 658906 665064 988359 1317812 1330128 1976718 2635624 2965077 3953436 5271248 5930154 7906872 8895231 11860308 15813744 17790462 23720616 35580924 47441232 71161848 142323696