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16329144 = 23313199263
BaseRepresentation
bin111110010010…
…100110111000
31010201121101010
4332102212320
513140013034
61341553520
7255536556
oct76224670
933647333
1016329144
119243367
1255758a0
1334c9620
142250bd6
1516783e9
hexf929b8

16329144 has 64 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 4980096.

The previous prime is 16329139. The next prime is 16329169. The reversal of 16329144 is 44192361.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61957 + ... + 62219.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 216329144 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 16329144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

16329144 is an abundant number, since it is smaller than the sum of its proper divisors (28022856).

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

16329144 is a wasteful number, since it uses less digits than its factorization.

16329144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 16329144 is about 4040.9335555042. The cubic root of 16329144 is about 253.7003928037.

The spelling of 16329144 in words is "sixteen million, three hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 263 312 398 526 597 789 796 1052 1194 1578 1592 2104 2388 2587 3156 3419 4776 5174 6312 6838 7761 10257 10348 13676 15522 20514 20696 27352 31044 41028 52337 62088 82056 104674 157011 209348 314022 418696 628044 680381 1256088 1360762 2041143 2721524 4082286 5443048 8164572 16329144