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158330016 = 25321323253
BaseRepresentation
bin10010110111111…
…10110010100000
3102000220222221200
421123332302200
5311013030031
623413321200
73631532355
oct1133766240
9360828850
10158330016
1181411759
1245036200
1326a57600
141705662c
15dd778e6
hex96feca0

158330016 has 108 divisors (see below), whose sum is σ = 487699758. Its totient is φ = 48701952.

The previous prime is 158330009. The next prime is 158330057. The reversal of 158330016 is 610033851.

It can be written as a sum of positive squares in 3 ways, for example, as 131331600 + 26998416 = 11460^2 + 5196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47046 + ... + 50298.

Almost surely, 2158330016 is an apocalyptic number.

158330016 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 158330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243849879).

158330016 is an abundant number, since it is smaller than the sum of its proper divisors (329369742).

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

158330016 is a wasteful number, since it uses less digits than its factorization.

158330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 158330016 is about 12582.9255739673. The cubic root of 158330016 is about 540.9881495235.

Adding to 158330016 its reverse (610033851), we get a palindrome (768363867).

The spelling of 158330016 in words is "one hundred fifty-eight million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3253 3744 4056 5408 6084 6506 8112 9759 12168 13012 16224 19518 24336 26024 29277 39036 42289 48672 52048 58554 78072 84578 104096 117108 126867 156144 169156 234216 253734 312288 338312 380601 468432 507468 549757 676624 761202 936864 1014936 1099514 1353248 1522404 1649271 2029872 2199028 3044808 3298542 4059744 4398056 4947813 6089616 6597084 8796112 9895626 12179232 13194168 17592224 19791252 26388336 39582504 52776672 79165008 158330016