[go: up one dir, main page]

Search a number
-
+
16440168 = 23319311163
BaseRepresentation
bin111110101101…
…101101101000
31010221020200010
4332231231220
513202041133
61344211520
7256511343
oct76555550
933836603
1016440168
119309818
125609ba0
133538014
14227d45a
15169b263
hexfadb68

16440168 has 64 divisors (see below), whose sum is σ = 44697600. Its totient is φ = 5019840.

The previous prime is 16440161. The next prime is 16440181. The reversal of 16440168 is 86104461.

It is a super-3 number, since 3×164401683 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (16440161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13555 + ... + 14717.

It is an arithmetic number, because the mean of its divisors is an integer number (698400).

Almost surely, 216440168 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 16440168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348800).

16440168 is an abundant number, since it is smaller than the sum of its proper divisors (28257432).

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

16440168 is a wasteful number, since it uses less digits than its factorization.

16440168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 16440168 is about 4054.6477035619. The cubic root of 16440168 is about 254.2740753716.

The spelling of 16440168 in words is "sixteen million, four hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1163 1178 1767 2326 2356 3489 3534 4652 4712 6978 7068 9304 13956 14136 22097 27912 36053 44194 66291 72106 88388 108159 132582 144212 176776 216318 265164 288424 432636 530328 685007 865272 1370014 2055021 2740028 4110042 5480056 8220084 16440168