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16414116 = 22329101467
BaseRepresentation
bin111110100111…
…010110100100
31010212220221020
4332213112210
513200222431
61343451140
7256342365
oct76472644
933786836
1016414116
1192a1194
1255b6ab0
1335291c4
142273b6c
151693696
hexfa75a4

16414116 has 48 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 5219200.

The previous prime is 16414103. The next prime is 16414171. The reversal of 16414116 is 61141461.

It is a super-2 number, since 2×164141162 = 538846408122912, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34915 + ... + 35381.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 216414116 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 16414116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

16414116 is an abundant number, since it is smaller than the sum of its proper divisors (23684124).

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

16414116 is a wasteful number, since it uses less digits than its factorization.

16414116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 16414116 is about 4051.4338202666. The cubic root of 16414116 is about 254.1396921058.

Adding to 16414116 its reverse (61141461), we get a palindrome (77555577).

The spelling of 16414116 in words is "sixteen million, four hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 29 58 87 101 116 174 202 303 348 404 467 606 934 1212 1401 1868 2802 2929 5604 5858 8787 11716 13543 17574 27086 35148 40629 47167 54172 81258 94334 141501 162516 188668 283002 566004 1367843 2735686 4103529 5471372 8207058 16414116